Hypothesis Tests: For all hypothesis tests, perform the appropriate test, including all 5 steps.
o H0 &H1
o α
o Test
o Test Statistic/p-value
o Decision about H0/Conclusion about H1
500 people were asked their political affiliation (Republican, Democrat, Independent) and income level (Under $50,000, Above $50,000). The results were tabulated, and they produced the following results: Test Statistic: 7.25, P-value: 0.1233 At the 0.05 level of significance, test the claim that political affiliation is independent of income level.
Answers
The null and alternative hypotheses are given by;
H0: Political affiliation and income level are independent.
H1: Political affiliation and income level are dependent.
The level of significance (α) = 0.05
Step 1: Identify the test Statistical Test: Chi-square Test.
Step 2: Formulate an Analysis Plan Here, we need to compute the expected frequencies for each cell using the formula: Expected frequency of each cell = (Row total x Column total) / sample size. We can then use the chi-square formula below to find the test statistic and p-value;χ2 = ∑(Observed frequency - Expected frequency)2 / Expected frequency
Step 3: Analyze the Sample Data and Calculate the Test Statistic Using the given observed frequencies, we get; Test statistic = 7.25.
Step 4: Calculate the P-Value We can use a chi-square distribution table to obtain the p-value associated with the test statistic at a given level of significance (α).For α = 0.05, df = (r-1) x (c-1) = (3-1) x (2-1) = 2 and the critical value is 5.991. The p-value = P(χ2 > 7.25) = 0.026 < α
Step 5: Decision about H0/Conclusion about H1Since the p-value is less than α, we reject the null hypothesis, H0 and conclude that there is a significant relationship between political affiliation and income level among the 500 respondents. Therefore, we accept the alternative hypothesis, H1. Thus, political affiliation and income level are dependent among the 500 respondents. Answer: H0: Political affiliation and income level are independent.H1: Political affiliation and income level are dependent. Test Statistic: 7.25, P-value: 0.1233The level of significance (α) = 0.05.The decision about H0/Conclusion about H1 is that we reject the null hypothesis, H0 and conclude that there is a significant relationship between political affiliation and income level among the 500 respondents. Therefore, we accept the alternative hypothesis, H1. Thus, political affiliation and income level are dependent among the 500 respondents.
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Related Questions
I need help with points!!!!!!
Answers
Answer:
It's the red option.
What is a reasonable measure for the angle shown?
Answers
A biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to express the bird's change in position? Write the vector in the form [cd] , where c and d are real numbers.
Answers
Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by \(\overrightarrow{AB}=<x_2-x_1, y_2-y_1>\)
By substituting the coordinates of points A and B,
\(\overrightarrow{AB}=<(-3-2),(-6-4)>\)
= < -5, -10 >
\(\overrightarrow{AB}=\binom{-5}{-10}\)
By comparing it with the vector form of [cd]
c = -5
d = -10
c. what proportion of babies have a birthweight over 4,000 grams? what proportion of babies have a birthweight between 3,200 and 3,800? use the
Answers
The proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.
How to calculate proportion?
Assumed,
mean = μ = 3500
standard deviation = σ = 200
For proportion over 4,000 grams, use this formula
P(x>4,000) = P(z>\(\frac{x-\mu}{\sigma}\))
P(x>4,000) = P(z>\(\frac{4000-3500}{200}\))
= P(z>2.5)
Look z score table for 2.5. So, z = 0.9938. Since is over so 1 - the result
= 1 - 0.9938
= 0.0062 or 0.62%
For proportion between 3,200 and 3,800 grams, use this formula
P(3,200<x<3,800) = P(\(\frac{x-\mu}{\sigma}\)<z<\(\frac{x-\mu}{\sigma}\))
P(3,200<x<3,800) = P(\(\frac{3200-3500}{200}\)<z<\(\frac{3800-3500}{200}\))
= P(-1.5<z<1.5)
= P(z<1.5) - P(z<-1.5)
Look z score table for 1.5 and -1.5. So, z for 1.5 = 0.9332 and z for -1.5 = 0.0668
= 0.9332 - 0.0668
= 0.8664 or 86.64%
Your question is incomplete, but this answer uses assumptions and general formulas that can be used.
Thus, the proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.
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The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answers
Answer:
The width is \(82m\)
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is \(A=lw\)
We already know the area of the rectangular field which is \(7626m\)
We already know the length is \(93m\)
--------------->>>>
Now let's substitute \(7626\) for \(A\) because that's the area and substitute \(93\) for \(l\) because that's the length. After that, let's solve to find the width.
\(7626=93w\)
Divide both sides by 93 because that's the opposite of multiplication.
\(82=w\)
--------------->>>>
This means that the width of the rectangular field is \(82m\)
Hope this is helpful
Is the given trinomial, 4x squared -20x + 25, a perfect square trinomial?
Answers
Yes, 4x² - 20x + 25 = (2x+5)² is a perfect square trinomial.
What is perfect square trinomial?
A trinomial that may be expressed as the square of a binomial is referred to as a perfect square trinomial. Remember that the square of the first term, twice the product of the first two terms, and the square of the final term are the results of squaring a binomial.
The perfect squared trinomials are always in the form:
\(a^2 +- 2ab + b^2 = (a+-b)^2\)
The given equation can also be written as:
(2x)² - 2(2x)(5) + 5² = (2x+5)²
This equation is similar to the ideal equation for perfect square trinomial.
Here, a = 2x, b = 5
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Complete Question
Is the given trinomial, 4x² - 20x + 25 = (2x+5)² , a perfect square trinomial?
expand by using the distributive property: (y^2 - 3y^3 x^-1) 2m^0 y^-2
Answers
The expanding the expression y^2 - 3y^3 x^-1) 2m^0 y^-2 using distributive property is 2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
We need to expand the expression (y² - 3y³ + x⁻¹) (2m⁰ + y⁻²)
The distributive property allows to multiply a sum by multiplying each term separately and then add all of the products together.
y²(2m⁰ + y⁻²) - 3y³(2m⁰ + y⁻²) + x⁻¹(2m⁰ + y⁻²)
2(1)y² + y²⁻² - 3y³2(1) - 3y³⁻² + x⁻¹2(1) + x⁻¹y⁻²
2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
Therefore, the expanding the expression y^2 - 3y^3 x^-1) 2m^0 y^-2 using distributive property is 2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
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Will make brainiest if 2 people answer :3
Answers
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can choose from 3 types of sandwiches, 4 types of fruit, and 2 types of drinks. How many different lunch boxes can Tristen pack
Answers
Answer:
24
Step-by-step explanation:
3x4x2=24
When finding the answer to this problem, you times all of the options by each other.
Four cans of beans cost $2.84. Which process can be used to determine the cost of 10 cans of beans?
Answers
27
Step-by-step explanation
dr j claims 40 percent of his college algebra class (very large section) will drop his course by midterm. to test his claim, he selected 45 names at random and discovered that 20 of them had already dropped long before midterm. the test statistic value for his hypothesis test is
Answers
The observed proportion is 20/45 (since 20 out of 45 names had already dropped the course).
To find the test statistic value for the hypothesis test, we need to calculate the z-score.
Given that Dr. J claims 40% of his college algebra class will drop his course by midterm, we can calculate the expected proportion of students who would drop the course. Since he selected 45 names at random, the expected number of students who would have dropped the course can be calculated as follows:
Expected number of students who would have dropped the course = (40/100) * 45
Next, we calculate the standard deviation of the expected proportion:
Standard deviation = sqrt((40/100) * (60/100) / 45)
The test statistic value (z-score) is then calculated as:
Test statistic value = (Observed proportion - Expected proportion) / Standard deviation
Here, the observed proportion is 20/45 (since 20 out of 45 names had already dropped the course).
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Compute the surface area of revolution about the -x- axis over the interval [0,1][0,1] for =−3
Answers
To compute the surface area of revolution about the -x- axis over the interval [0,1] for y=−3, we can use the formula:
SA = 2π ∫[a,b] y√(1+(dy/dx)²) dx
where a=0, b=1, and dy/dx is the derivative of y with respect to x. In this case, y=−3, so dy/dx=0.
Plugging in these values, we get:
SA = 2π ∫[0,1] -3√(1+0²) dx
SA = -6π ∫[0,1] dx
SA = -6π[x]₀¹
SA = -6π(1-0)
SA = -6π
Since surface area cannot be negative, we take the absolute value of the result, which gives us:
SA = 6π
Therefore, the surface area of revolution about the -x- axis over the interval [0,1] for y=−3 is 6π.
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Explain my mistake and help me answer it
Answers
Answer:
its not 9xb its 9b
Step-by-step explanation:
yes its multiplying but you are not directly putting that
Answer:
Write it as 9b = 36
Step-by-step explanation:
As you move into more complex math, the symbol for multiplacation will be an * or a dot. the "x" is used as a variable, so that is why the computer said it was wrong
Someone plz help me :(
Answers
PLEASE ANSWER 65 POINTS!!!!!!!!!!!!!!!!
What is the value of x?
a) 2
b) 4
c) 3
d) 5
Answers
Answer:
i think its B
Step-by-step explanation:
HELP!! // The phone case you want to buy is marked down 25%, and you have a 10% off coupon. You pay $27.00. Can this equation be used to find the original price of the phone case? Explain why the equation does or does not fit the scenario, then determine the original price of the phone case.
(0.75c) = 27
Answers
Answer:
The original price is $40.00.
Step-by-step explanation:
I am not sure what that given equation is.
But here is the correct answer and steps.
The marked down price is 75% of the original price.
The final price is 90% of the marked down price.
Lets say
\(T\) = Final Price
\(O\) = Original Price
We can write
\(T=(0.75*O)*(0.9)\)
Multiply \(0.9\) by \(0.75\).
\(T=0.675*O\)
We are given the final price. Lets substitute 27.00 for \(T\).
\(27.00=0.675*O\)
Divide both sides of the equation by \(0.675\).
\(40.00=O\)
2x - 3 = 1 and -3x + 6 = 12
Answers
Answer:
I am confused by the question no CAPPPPPP
Step-by-step explanation:
Rectangular prism A is similar to rectangular prism B. The ratio of the surface of A to B is 4:1. If the volume of rectangular prism B is 12 cm3 , what is the volume of rectangular prism A?
Answers
The volume of rectangular prism A will be 48 cm³
How to find area of Rectangular Prism?
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height.
Since the surface ratio of rectangular prism A to rectangular prism B is 4:1, the ratio of the linear dimensions of A to B must also be 4:1.
This means that if one linear dimension of rectangular prism A is 4 times the size of the corresponding dimension of rectangular prism B, then all of the linear dimensions of A will be 4 times the size of the corresponding dimensions of B.
Since the volume of a rectangular prism is given by the product of its linear dimensions.
The volume of rectangular prism A will be 4 times the volume of rectangular prism B.
Therefore, if the volume of rectangular prism B is 12 cm³, the volume of rectangular prism A will be 4 * 12 cm³ = 48 cm³.
Hence, The volume of rectangular prism A will be 48 cm³.
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1.5x = 3 someone help plz
Answers
Answer:
1.5x=3
x=3/1.5
x=2
.....
Answer:
Hello! answer: x = 2
Step-by-step explanation:
1.5 × 2 = 3
therefore x = 2 Hope that helps!
The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters.
The equation of the line y = -14.7 + 1.59x is called the
least-squares regression line because it
• passes through each data point.
• is least able to make accurate predictions for the data.
• minimizes the sum of the squared vertical distances from the points to the line
• maximizes the sum of the squared vertical distances from the points to the line.
Answers
The equation of the line y = -14.7 + 1.59x is called the least-squares regression line because it: C. minimizes the sum of the squared vertical distances from the points to the line.
What is a least-squares regression?In Mathematics and Statistics, a least-squares regression line can be defined as a standard technique in regression analysis and statistics that is typically used for making the vertical distance obtained from the data points running to a regression line become very minimal or as small as possible.
Generally speaking, an equation to predict y from x is typically generated or created by using a regression line.
In this context, we can logically deduce that a least-squares regression line of the form y = -14.7 + 1.59x would minimize the sum of the squared vertical distances from the points (x, y) to a given line.
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cycling burns about 4calories each minute.An apple has about 60 calories.About how many minutes would you have to cycle to burn off the calories in an apple?
Answers
Step-by-step explanation:
1 min 4 cals
60 cals how many mins?
1min. 60cals
____. × _______ = 15 mins
4cals. ?mins
we simplify the matter by simplifying 60 with 4 and striking out cals... then we will have 15 on the top right and then we multiply 1 and 15 together at the end we add the mark of the answer which is (min).
Maths ,Please help with mark brainliest
Answers
2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2
Answers
The Lewis dot structure for BF2 is:
F B F
\ /
B
/ \
F B F
In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.
To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.
The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.
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2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7
Answers
Answer:B.a= -2
2.2(44a+5)=1.8a-3
8.8a+11=1.8a-3
8.8a-1.8a=-3-11
7a=-14
:a=-2
Step-by-step explanation:
Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.
Answers
353.25
a=(3.14*15^2)/2
a=706.5/2
a=353 sq in
How do Sasa’s film techniques relate to the content and mood of this excerpt?
Answers
Answer:
its a.
Step-by-step explanation:
i took the quiz.
Answer:A
Step-by-step explanation:I DID THE QUIZ
Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answers
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
in how many ways can n identical balls be distributed into r bins such that each bin contains at least two balls
Answers
Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.
1 ball in each of 3 boxes: 4 ways
3 balls in one box: 4 ways
2 balls in one box and 1 ball in another box: 3*4=12 ways
There are 20 ways to arrange the balls .
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination can also be represented as: –nCr, nCr, C(n,r), Crn
Proof:
nPr = nCr.r!
= [n!/r!(n-r)!].r!
= n!/(n-r)!
Hence the theorem states true.
A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
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Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answers
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
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A rectangular area adjacent to a river is to be fenced in, but no fencing is required on the side by the river. The total area to be enclosed is 3000 square feet. Fencing for the side parallel to the river is $6 per linear foot, and fencing for the other two sides is $3 per linear foot. The four corner posts cost $20 apiece. Let x be the length of the one the sides perpendicular to the river. (a) Find a cost equation C in terms of x: 18000 C(x) = 6x + + 80 = oo 2 (b) Find the minimum cost to build the enclosure and round your answer to two decimals. Miminum cost: $ Submit Question
Answers
The cost equation C in terms of x is C(x) = 6(x + 3000/x) + 80 and the minimum cost to build the enclosure is approximately $629.25 (rounded to two decimal places).
(a)
To find the cost equation C in terms of x, we need to consider the cost of the fencing and the cost of the corner posts.
The side parallel to the river does not require fencing, so there is no cost associated with it.
The other two sides have lengths x and 3000/x (since the total area is 3000 square feet), and the cost for these two sides is $3 per linear foot. Therefore, the cost for these two sides is 2 * 3 * (x + 3000/x) = 6(x + 3000/x).
The cost of the four corner posts is $20 apiece, so the cost for the corner posts is 4 * 20 = 80.
The total cost equation C(x) is the sum of these costs:
C(x) = 6(x + 3000/x) + 80
(b)
To find the minimum cost to build the enclosure, we need to find the value of x that minimizes the cost equation C(x).
We can find the minimum by taking the derivative of C(x) with respect to x and setting it equal to zero:
C'(x) = 6 - 6000/x^2 = 0
Solving for x, we have:
6000/x^2 = 6
x^2 = 1000
x = sqrt(1000)
x ≈ 31.62 (rounded to two decimal places).
Substituting this value of x back into the cost equation C(x), we can find the minimum cost:
C(31.62) = 6(31.62 + 3000/31.62) + 80
C(31.62) ≈ 629.25
Therefore, the minimum cost to build the enclosure is approximately $629.25 (rounded to two decimal places).
The question should be:
A rectangular area adjacent to a river is to be fenced in, but no fencing is required on the side by the river. The total area to be enclosed is 3000 square feet. Fencing for the side parallel to the river is $6 per linear foot, and fencing for the other two sides is $3 per linear foot. The four corner posts cost $20 apiece. Let x be the length of the one the sides perpendicular to the river. (a) Find a cost equation C in terms of x: (b) Find the minimum cost to build the enclosure and round your answer to two decimals.
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