In a random sample of 70 male students, 35 were found to wear glasses. In another random sample of 55 female students, 22 were found to wear glasses. Test the claim that the population proportion of male students who wear glasses is greater than the population proportion of female students who wear glasses. Use =0.05.
Answers
There is not enough evidence to support the claim.
How to test the claim?Here we want to test the claim that the population proportion of male students who wear glasses is greater than the population proportion of female students who wear glasses, to do this, we need to use a two-sample z-test for proportions.
Let's denote the proportion of males wearing glasses as p₁ and the proportion of females wearing glasses as p₂. The null hypothesis (H₀) is that p₂ is equal to or less than p₂, and the alternative hypothesis (H₁) is that p₂ is greater than p₂.
H₀: p₁ <= p₂
H₁: p₁ > p₂
We can calculate the test statistic using the formula:
z = (p₁ - p₂) / √(p * (1 - p) * (1/n₁ + 1/n₂))
where p is the pooled sample proportion, n₁ is the sample size of males, and n₂ is the sample size of females.
The value of p is.
p = (x + x₂) / (n₁ + n₂)
where x₁ is the number of males wearing glasses, x₂ is the number of females wearing glasses, n₁ is the sample size of males, and n₂ is the sample size of females, we know all of these numbers
p = (35 + 22) / (70 + 55) = 57 / 125 = 0.456
Next, we can calculate the test statistic, z:
z = (35/70 - 22/55) / √(0.456 * (1 - 0.456) * (1/70 + 1/55))
z = (0.5 - 0.4) /√(0.456 * 0.544 * (0.042857 + 0.018182))
z ≈ 0.1 / 0.16521 = 0.605
The critical value for a one-tailed test with a significance level of 0.05 is approximately 1.645.
Since the test statistic (0.605) is less than the critical value (1.645), we do not reject the null hypothesis.
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Related Questions
which term can be used to describe the relationship between <A and <B
A.Complementary
B.Supplementary
C.Vertical
D.Acute
(look at the picture)
Answers
Answer:
D. Acute
Step-by-step explanation:
Acute because both <A and <B are less then 90 degrees
Hope this helps :).
Answer:
Option A
Step-by-step explanation:
Given :-
A line is given which has three angles a , b and 90° .We need to find the relationship between a and b. Also we know that the measure of angle of straight line is 180 ° .
According to Question :-
\(:\implies\) a + b + 90° = 180°
\(:\implies\) a + b = 180° - 90°
\(:\implies\) a + b = 90°
Hence the angles a and b are complementary.PLEASE HELP ME QUICK
Answers
17 sq ➡️ Pi ➡️ 3.01245 ➡️ 8/3
Which expression is equivalent to?
3/2
Answers
Answer:
D
Step-by-step explanation:
simplified is 1 1/2, 1.5 or 3/2
what’s the answer to 4*100000
Answers
Answer:
400000
Step-by-step explanation:
your welcome
A recent poll found that 68% of Americans drive while listening to the radio. If four people are selected at
random, find the probability that: (9 points) DO NOT GIVE ME SCIENTIFIC NOTATION ANSWERS. TAKE
DECIMAL ANSWERS OUT TO THE FIRST NON ZERO DIGIT
a.) None listen to the radio.
___________________
b.) At least one listens to the radio.
___________________
c.) All listen to the radio.
Answers
a) The probability that none listen to the radio is 0.32.b) The probability that at least one listens to the radio is 0.9875.c) The probability that all four listen to the radio is 0.1679.
Suppose that the random variable X represents the number of people that listen to the radio out of four people selected randomly. Now, X can take any of the following values:{0, 1, 2, 3, 4}.Note that 68% of Americans listen to the radio while driving. So, the probability of each person listening to the radio is 0.68. Therefore, the probability of each person not listening to the radio is 0.32.This is same as the probability of not all four people not listening to the radio, which is:P(at least one person listens to the radio) = 1 - P(none listen to the radio) = 1 - 0.03278688 = 0.96721312Therefore, the probability that at least one listens to the radio is 0.9672 (to 4 decimal places).c) We are to find the probability that all four listen to the radio. This means that X = 4. The probability that a person listens to the radio is 0.68. Thus, we have:P(X = 4) = 0.68 × 0.68 × 0.68 × 0.68 = 0.23738208So, the probability that all four listen to the radio is 0.2374 (to 4 decimal places).
Suppose that the random variable X represents the number of people that listen to the radio out of four people selected randomly. Now, X can take any of the following values:{0, 1, 2, 3, 4}.Note that 68% of Americans listen to the radio while driving. So, the probability of each person listening to the radio is 0.68. Therefore, the probability of each person not listening to the radio is 0.32.a) We are to find the probability that none listen to the radio. This means that X = 0. The probability that a person does not listen to the radio is 0.32. Thus, we have:P(X = 0) = 0.32 × 0.32 × 0.32 × 0.32 = 0.03278688So, the probability that none listen to the radio is 0.0328 (to 4 decimal places).b) We are to find the probability that at least one person listens to the radio. This is same as the probability of not all four people not listening to the radio, which is:P(at least one person listens to the radio) = 1 - P(none listen to the radio) = 1 - 0.03278688 = 0.96721312Therefore, the probability that at least one listens to the radio is 0.9672 (to 4 decimal places).c) We are to find the probability that all four listen to the radio. This means that X = 4. The probability that a person listens to the radio is 0.68. Thus, we have:P(X = 4) = 0.68 × 0.68 × 0.68 × 0.68 = 0.23738208So, the probability that all four listen to the radio is 0.2374 (to 4 decimal places).
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work out the value of x and y in this diagram. All measurement are in centimeters
Answers
Answer:
X = 5
Y = 7
Step-by-step explanation:
First we will find x
4x + 2 = 3x + 7
x + 2 = + 7
x = 5
Next we will find y
2y + 9 = 4y - 5
-2y + 9 = -5
-2y = -14
y = 7
FMECA is a bottom-up (Hardware) or top-down (Functional) approach to risk assessment. It is inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode and Causes/ Mechanisms. These elements closely resemble the modern 5 Why technique. Thus answer: To estimate reliability of software, most software prediction models use probability density function to predict, choose one Group of answer choices Mean time between failures Consensus of the team Number of failures observed in each test interval Mean time to failurel
Answers
FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."
FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.
However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.
PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.
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please answer this and don't do it for the points
Answers
The answer is 0
/c and /d are vertical angles.if /c is 140, what is the measure of/d?
Answers
I need help with this
Answers
i dont know my friend so try asking someone better than cause i have no brain for this type of math
A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.
Answers
According to the Central Limit Theorem for proportions, the property does dˆ exhibit is the statistic is biased.
Central line theorem:
In statistics, central limit theorem states that when the large sample size has a finite variance, the samples will be normally distributed and the mean of samples will be approximately equal to the mean of the whole population.
Given,
A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d.
Here we need to find the property does dˆ exhibit.
As per the Central Limit Theorem establishes that for a proportion p in a sample of size n:
Expected value μ = p
Standard error s = √p(1 - p) /n
Here the expected value is different of the expected, hence, the statistic is biased.
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(The teacher asks Marvin to calculate soil productivity. The following data are given: "The farmer Mahlzahn owns 8 hectares of land. With this land he has a potato yield of 60 tons.") Select one:
O 7,5 Tonnen pro Hektar (7,5 tons per hectare)
O Keine Antwort ist richtig (No answer is correct)
O 480 Tonnen pro Hektar (480 tons per hectare)
O 0,133 Tonnen pro Hektar (0,133 tons per hectare)
Answers
The soil productivity is 7.5 tons per hectare.
The teacher asks Marvin to calculate soil productivity. The following data are given: "The farmer Mahlzahn owns 8 hectares of land. With this land he has a potato yield of 60 tons."
Yield per hectare = Total yield / Total land area Yield per hectare
= 60 tons / 8 hectares
Yield per hectare = 7.5 tons per hectare
Therefore, the correct answer would be 7.5 tons per hectare.
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hello please help i’ll give brainliest
Answers
inventor
inventions led to great feats of engineering ..like great canal
1. IF HEIGHTS OF FEMALE COLLEGE STUDENTS ARE NORMALLY DISTRIBUTED WITH A MEAN OF 64 INCHES AND A STANDARD DEVIATION OF 10 INCHES, WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT LESS THAN 63 INCHES.
2. WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT BETWEEN 61 AND 69 INCHES?
3. WHAT IS THE PROBABILITY OF FINDING AN AVERAGE OF GREATER THAN 65 INCHES WITH A SAMPLE OF 35 FEMALE COLLEGE STUDENTS?
Answers
a)0.1587 (or 15.87%)
b)0.6827 (or 68.27%)
c)0.0228 (or 2.28%)
1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).
2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).
3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).
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M(-5,9) and N(-2,7)
P(-3,-7) and Q(3,-5
Answers
Answer:
M=(4,112)=(4,5.5) A
Step-by-step explanation:
The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).
We have that px=3, py=2, qx=5, qy=9.
Thus, M=(3+52,2+92)=(4,112).
on her bicycle ride fabiana's position (in km) as a function of time (in hours) is ()=19 17. what was her average velocity between =2 and =3?
Answers
The average velocity of Fabiana's is 19 km/h.
What is average velocity?
Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.
function of Fabiana's position is given as;
x(t) = 19t + 17, at t = 2 sec and 3 sec
x(2) = 19(2) + 17 = 55 km
x(3) = 19(3) + 17 = 74 km
average velocity = Δx/Δt = (x₂ - x₁)/(t₂ - t₁)
average velocity = (74 km - 55 km)/(3 hr - 2 hr) = 19 km/h
Thus, the average velocity of Fabiana's is 19 km/h.
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The sequence is given. Part A: Assuming the pattern continues, list the next four terms in the sequence. Show all necessary math work. (4 points) Part B: Write the explicit equation for f (n) to represent the sequence. Show all necessary math work. (4 points) Part C: Is the sign of f (59) positive or negative
Answers
A. The next four terms in the sequence are 17, 20, 23, and 26.
B. f(n) = 2 + (n - 1) * 3
C. The sign of f(59) is positive.
Part A:
To determine the next four terms in the sequence, we need to identify the pattern. Let's denote the terms in the sequence as f(n), where n represents the position of the term.
Given that we have not been provided with the sequence explicitly, I will assume that you have a given sequence and will use it to illustrate the process.
Let's say the sequence is: 2, 5, 8, 11, 14, ...
To find the pattern, we observe that each term is obtained by adding 3 to the previous term. So, the common difference between consecutive terms is 3.
Next four terms:
f(5) = f(4) + 3 = 14 + 3 = 17
f(6) = f(5) + 3 = 17 + 3 = 20
f(7) = f(6) + 3 = 20 + 3 = 23
f(8) = f(7) + 3 = 23 + 3 = 26
Therefore, the next four terms in the sequence are 17, 20, 23, and 26.
Part B:
To write the explicit equation for f(n) to represent the sequence, we need to determine the initial term or f(1) and the common difference.
In the given sequence, the initial term is 2, and the common difference is 3. Therefore, we can express the explicit equation for the sequence as:
f(n) = 2 + (n - 1) * 3
Part C:
To determine the sign of f(59), we substitute n = 59 into the explicit equation we derived in Part B:
f(59) = 2 + (59 - 1) * 3
= 2 + 58 * 3
= 2 + 174
= 176
Since f(59) = 176, which is a positive value, the sign of f(59) is positive.
Assuming the pattern continues, the next four terms in the sequence are 17, 20, 23, and 26. The explicit equation for f(n) representing the sequence is f(n) = 2 + (n - 1) * 3. Lastly, the sign of f(59) is positive.
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What is the equation of this circle in general form?
Responses
x2+y2−2x−6y−26=0
x squared plus y squared minus 2 x minus 6 y minus 26 equals 0
x2+y2+2x+6y−26=0
x squared plus y squared plus 2 x plus 6 y minus 26 equals 0
x² + y² + 2x + 6y + 4 = 0
x, ² +, y, ² + 2, x, + 6, y, + 4 = 0
x2+y2−2x−6y+4=0
Answers
Answer: for future k-12 kids :)
Step-by-step explanation:
Answer:
(a) x² +y² -2x -6y -26 = 0
Step-by-step explanation:
You want the equation for the circle with center (1, 3) and radius 6 written in general form.
Circle equationThe standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The radius and center are found from the graph, attached. For the circle centered at (h, k) = (1, 3) and radius r = 6, this is ...
(x -1)² +(y -3)² = 6²
Expanding this equation gives ...
x² -2x +1 +y² -6y +9 = 36
Written in general form, the equation becomes ...
x² +y² -2x -6y -26 = 0 . . . . matches choice A
__
Additional comment
There is an image of this question showing the correct answer choice is the third one. However, that answer choice shows up first on this instance of the question. You will need to read and compare answer content to make sure you have the correct choice. You cannot go by the order of the the answers.
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You have a 10% coupon for your favorite restaurant. You order $75 worth of food and drinks. What will your bill be (before tax) after the 10% discount?
Answers
Answer: $67.50
Step-by-step explanation:
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games.
A) Design a simulation for this event,
B) what counts as a successful outcome?
C) Estimate the probability using your simulation.
Can anyone help me? I’m kind of confused on this problem
Answers
Answer:
C. Estimate the probability using your simulation.
Step-by-step explanation:
Mathew wants to rent a jet ski for a day. it will cost him $125 per hour plus a $10 fee for a life jacket. let h = the number of hours mathew rents the jet ski. write an expression that shows the total amount he will pay. h + part b evaluate the expression you wrote to find the amount mathew will pay if he rents the jet ski for 3 hours. $
Answers
Answer: A. 125h + 10 B. $385
Step-by-step explanation:
let h = the number of hours Mathew rents the jet ski
a. 125h + 10
B. Plug in 3 for h
125(3) + 10
375 + 10
⇒ $385
Answer:
F(h)= 125h+10
F(3)=125(3)+10
F(3)=375+10
F(3)=385
Step-by-step explanation:
So sorry if this is incorrect. I hope I could help!
given , ⊙a ≅ ⊙v, what congruency statements can you make? check all that apply.
Answers
Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.
A. a ≅ v
D. a ≅ ⊙v
E. ⊙a ≅ v
Since the symbol ⊙ represents congruency, ⊙a ≅ ⊙v implies that a is congruent to v. Therefore, the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.
Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.
The complete question is :
Given , ⊙a ≅ ⊙v, what congruency statements can you make? Check all that apply.
A. a ≅ v
B. a ~ v
C. ⊙a ~ ⊙v
D. a ≅ ⊙v
E. ⊙a ≅ v
The correct answers are: A. a ≅ v, D. a ≅ ⊙v, and E. ⊙a ≅ v.
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By looking at the equation of the least-squares regression line, you can see that the correlation between height and arm span is.
Answers
Step-by-step explanation:
If the data shows a leaner relationship between two variables, the line that best fits this linear relationship is known as a least-squares regression line, which minimizes the vertical distance from the data points to the regression line.
1
What is the domain of the linear function
graphed below?
у
Answers
Answer:
Step-by-step explanation:
answer : C
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answers
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!
Solve 3x-9 ≥ 27-6x
Please help would be greatly appreciated!!
Answers
Hailee is painting a total of 38 square feet in her bedroom. If she has painted 70% so far, how many square feet of the bedroom does she still need to paint?
Answers
Answer:
2.471 if you need to round it should be 2.5
Step-by-step explanation:
Please help! Having a lot of trouble with this
Answers
Answer:
\(\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}\)
Its A)
For Sure.
Its Intersecting The X- axis At X= -2 and x=6
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answers
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
Please help? I could fail
Answers
Answer:
b. 22
Step-by-step explanation:
1.6 x 14 = 22.4
22.4 rounded is 22