If n = 240 and p (p-hat) = 0.55, construct a 90% confidence interval. Give your answers to three decimals кр
Answers
The formula for calculating confidence interval is: $\overline{X} \pm Z_{\alpha/2}\frac{σ}{\sqrt{n}}$,
where $\overline{X}$ is the sample mean,
$σ$ is the population standard deviation,
$n$ is the sample size, and $Z_{\alpha/2}$ is the critical value of the standard normal distribution at $\alpha/2$ and $(1-\alpha/2)$ levels of significance respectively. To construct the 90% confidence interval for the given data: n = 240p-hat = 0.55The sample mean is equal to p-hat which is 0.55. Therefore, the margin of error is given by;
ME = Z_{α/2} × √{p-hat(1 - p-hat) / n}α = 0.10, thus α/2 = 0.05, so the area to the right of the critical value is equal to 0.05.
Using the standard normal distribution table, the critical value for α/2 = 0.05 is: Z_{α/2} = 1.64
Therefore, the confidence interval is given by; CI = p-hat ± Z_{α/2} × √{p-hat(1 - p-hat) / n}CI = 0.55 ± 1.64 × √{0.55(1 - 0.55) / 240}CI = 0.55 ± 0.077
Therefore, the confidence interval is (0.473, 0.627) (rounded to three decimal places).
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Related Questions
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even?
A. 1/2
B. 4/9
C. 1/8
D.1/9
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explanation
which expression is equal to 45 4 5 responses 4 x 15 1 5 4 x 1 fifth 4 x 51 5 1 4 x 5 over 1 5 x 14 1 4 5 x 1 fourth 5 x 41 4 1 5 x 4 over 1
Answers
Option A, which is 4 x 15 + 1 - 5 x 4 x 1, is the correct expression that is equal to 45 x 4 + 5.
To show this, we can simplify the expression as follows:
4 x 51 + 1 - 5 x 4 x 1
= 204 + 1 - 20
= 205 - 20
= 184
Then, we can check if 185 is equal to 45 x 4 + 5:
45 x 4 + 5
= 180 + 5
= 185
Since 185 is equal to 185, it is concluded that an expression that is "equal to" 45 x 4 + 5, is held by option A.
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A + b + c = d solve for c
Answers
a + b = d - c (subtract c)
a + b - d = -c (subtract d to isolate c)
-a - b + d = c (change signs to make c positive)
B C Triangles ABC and DEF are shown. Drag components to describe a sequence of transformations that will show that A ABC EA DEF. 1. Reflect A ABC across 2. Translate AA'B'C' 3. Translate A A"c" unlt(s) right. unlt(s) down. BC CA AB 1 2 3 4
Answers
Answer:
Step-by-step explanation:
Reflect tringle ABC across 2
translate tringle A’B’C’ CA units(s) right
Translate tringle A”B”C” AB unite(s) down
Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a maximum of 11 total hours and must earn at least $120. Also, he must work at most 8 hours tutoring and at most 3 hours landscaping. If xx represents the number of hours tutoring and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
worked 4 hours tutoring = 4 hours * $25 = $100 earned
$130 needed - $100 earned = $30 needed
$30/ $10 hour babysitting = 3 hours
as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements
Minimum # of hours babysitting = 3 hours
Step-by-step explanation:
 find the area of the shaded region leave your answer in terms of pi and in simplified radical form 
Answers
The area of the shaded part is 463.4π cm²
What is area of shaded part?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The area of the shaded part = area of circle - area of segment.
Area of circle = πr²
= 3.14 × 24²
= 576π cm²
Area of segment = area of sector - area of triangle
Area of sector = 120/360 × 576π
=576π/3
= 192πcm²
Area of triangle = 1/2absinC
= 1/2 × 24² sin120
= 249.42
= 79.4π cm²
Area of segment = 192π- 79.4π
= 112.6π
Area of the shaded part = 576π -112.6π
= 463.4 π
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A bed has a sale price of £257.40
This is a saving of 22% on the original price.
What was the original price of the bed?
Answers
The original price of the bed was £330.
Calculating priceFrom the question, we are to determine the original price of the bed.
Let the original price of the bed be x
From the given information,
The current sale price of the bed is £257.40, and this price is a saving of 22% on the original price
Then,
We can write that
x - 22% of x = £257.40
Thus,
x - 0.22x = £257.40
0.78x = £257.40
x = £257.40/0.78
x = £330
Hence, the original price of the bed was £330.
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Answer:330
Step-by-step explanation:
easy way to do this:
1. ok so you know 100%=x and 100-22=73 so that means that 73%=2570.40
2. so write them with the known above the unknown: 100%=x
78%=2457.40
3. no cross multiply like this \(\frac{100X257.40}{78}\) imagine the multiplication sign is the X here( the app didn't let me change that?)
4. the solution equals 330 which the answer
5. YOU DID IT!!
2nd try again please help
Answers
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
I need help if you get it right I will mark brainliest pls
Answers
Given:
R is the midpoint of QS
Prove: PRQ = TRS
Answers
Answer:
Step-by-step explanation: Hello!
I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent. This also means that line segments PQ and ST are congruent. You also know that angles Q and S are congruent which is given. By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.
The power rule for the logarithms states that logbMp = _____ The logarithm of a number with an exponent is the _______ of the exponent and the logarithm of that number.
Answers
The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.
The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.
To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).
In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).
So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.
In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.
This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.
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Tell whether the triangle with the given side lengths is a right triangle.
65, 72,97
The answer is yes or no
Answers
Answer:
yes
Step-by-step explanation:
when I add 65+72 and the answer gave me and I find the square root of that number
Topic: Differential Calculus; limit of a function
Answers
Answer:
umm answer is 3 i think is this right?
0
What is the sum of the geometric sequence 1, 3, 9, … if there are 14 terms?
Answers
1 2 What is the probability of an event that is certain?
Answers
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.
An event that is certain to happen has a probability of 1.
Question 13 If the inflation rate is 180%, in how many years will average prices double?
Answers
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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find the sum of the measures of the angles of each polygon
Answers
Look I got the Drip
Question: If the temperature was -16 degrees and then rose 12 degrees, what is the temperature?
Answers
Answer:
الحقيقة لن تكون جيدة جدًا
if the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f '(4).
Answers
f(4) = 3 and f '(4) = 1/4, Given that the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), we can find f(4) and f '(4) using the slope-point formula.
Since the tangent line passes through (4, 3) and (0, 2), we can calculate the slope (m) as:
m = (y2 - y1) / (x2 - x1)
m = (3 - 2) / (4 - 0)
m = 1 / 4
Now, we know that the slope of the tangent line at (4, 3) is equal to the derivative f '(4). Therefore: f '(4) = 1/4
Since the tangent line touches the curve at (4, 3), we have:
f(4) = 3.
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Gina gets money from her grandfather every day for the entire week of her birthday, starting on Monday. She gets $2 on Monday, $4 on Tuesday, and the previous day's amount gets multiplied by 2 each day. Which of the following would represent how much money Gina would receive on Thursday?
Answers
Answer:
Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather
Step-by-step explanation:
A. 2^5
B. 2^4
C. 2^3
D. 2^2
Gina gets:
Monday =$2 = $2^1
Tuesday =$4 = $2^2
Previous day's amount get multiplied by 2
Wednesday = Tuesday's amount × 2
= $4 × 2
= $8
= $2^3
Thursday = Wednesday's amount × 2
= $8 × 2
= $16
= $2^4
Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather
Answer:
the answer is 2^4
Step-by-step explanation:
What is with counters -2-(-6)
Answers
Ushdbxbc
will this decay still be an exponential function of time? will the time constant have changed? explain.
Answers
Yes, the decay will still be an exponential function of time. This is because exponential decay is a natural phenomenon that occurs in various processes like radioactive decay or discharging of capacitors. In general, exponential decay can be modeled by the equation:
y(t) = y0 * e^(-t/τ)
Where:
y(t) is the quantity at time t,
y0 is the initial quantity,
e is the base of the natural logarithm (approximately 2.718),
t is the time, and
τ is the time constant.
As for the time constant, it may change depending on factors influencing the decay process. For example, in radioactive decay, the time constant is related to the half-life of the radioactive substance, which is unique for each element. In other processes, the time constant may be influenced by environmental conditions, material properties, or other variables.
To summarize, the decay will still be an exponential function of time, and the time constant may change depending on various factors affecting the decay process.
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You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below. Servers’ Collected Tips Customers 54 46 34 67 52 22 49 64 55 80 38 42 Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91 a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line
Answers
Answer:
Simply create a scatter plot then write in a line of best fit.
Step-by-step explanation:
Answer:
create a scatter plot then write in a line of best fit.
Step-by-step explanation:
Ms. Kradin surveyed the $84 students that she teaches and asked them if they preferred to play soccer or basketball. The results are displayed in the table below.
Answers
With the survey, the following statements are true;
1. 11th graders and 12th graders equally likely to prefer soccer
2. A 12th grade student is less likely to prefer soccer to a 11th grade student and
3 A 11th grade student is more likely to prefer basketball than a 12th grade student.
4. The data suggests there is an association between what grade the student are in and their preference of soccer or basketball
What is true statement of a data?A statement is true if what it asserts is the case, and it is false if what it asserts is not the case. For instance, the statement “The trains are always late” is only true if what it describes is the case, i.e., if it is actually the case that the trains are always late.
The true statement of a data are the positive facts that can be derived from the data. For example, with the survey of 84 students, 48, 11th graders and 36, 12th graders. The following facts can be obtained:
A. 11th graders and 12th graders equally likely to prefer soccer
B. . A 12th grade student is less likely to prefer soccer to a 11th grade student and
C. A 11th grade student is more likely to prefer basketball than a 12th grade student.
d . The data suggests there is an association between what grade the student are in and their preference of soccer or basketball.
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What is the measure of angle AFR?
O 124 degrees
O 91 degrees
O 13 degrees
O 117 degrees
Answers
Answer:
13°Step-by-step explanation:
AFR = VFN (opposite angle rule)
7x + 33 = 9x + 7
33 - 7 = 9x - 7x
26 = 2x
x = 26 : 2
x = 13°
-----------------
check
7 * 13 + 33 = 9 * 13 + 7 (remember PEMDAS)
91 + 33 = 117 + 7
124 = 124
the answer is good
How do I find the domain and range in this? Please help!!
Answers
Answer:
Step-by-step explanation:
p
how many sides does a regular polygon have if one exterior angle measures 30
Answers
Answer:
12 sides
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
since the polygon is regular then the exterior angles are congruent
number of sides = 360° ÷ 30 = 12
Answer:
12.
Step-by-step explanation:
Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Answers
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
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PLEASE HELP WILL GIVE BRAINLIEST AND POINTS !!!!
Answers
I am to believe the answer is Yes because you add the exponents
Pleaz help I need this in like 5 minutes
Answers
Answer: 380 in^2
Step-by-step explanation:
Area of a circle is pi r squared
We know pi its 3.14
We know Radius is 11 inches
11^2 = 121
121 * 3.14 = 379.94
Rounding it to 380 in^2
Hope this helps