Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,2, (b) find the critical value z12, or (c) state that neither the normal distribution40-nor the t distribution applies.30-The confidence level is 90%, o is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown.20-10-40008000 12000 16000 2000Salary (thousands of dollars)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A.ta/2 =(Round to two decimal places as needed.)В.Za12(Round to two decimal places as needed.)C. Neither the normal distribution nor the t distribution applies.Frequency Use the sample data and confidence level given below to complete parts (a) through (d).A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1058 and x = 597 who said "yes." Use a 90% confidence level.Click the icon to view a table of z scores.a) Find the best point estimate of the population proportion p.(Round to three decimal places as needed.)b) Identify the value of the margin of error E.E =(Round to three decimal places as needed.)c) Construct the confidence interval.]

Name: Assume that we want to construct a confidence interval. Do one of the
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Description: Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,2, (b) find the critical value z12, or (c) state that neither the normal distribution40-nor the t distribution applies.30-

It is given that the histogram of 61 player salaries of football players on a team. From the histogram, it looks like right-skewed. The given data does not follow t-distribution and normal distribution. Therefore, the correct option is c. Neither the normal distribution nor the t-distribution applies. The value of n is 1058 and the value of x is 597.a) Calculate the point estimate of all population proportion p is as follows: Therefore, the point estimate of all population proportion p is 0.564. b) Calculate the z-critical value using Excel is as follows: Calculate the value of the margin of error is as follows: Therefore, the value of the margin of error is 0.025.c) Calculate the confidence interval is as follows: Therefore, the confidence interval is 0.539 < p < 0.589. d) There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

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Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1058 and x = 597 who said "yes." Use a 90% confidence level. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. D

Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1058 and x = 597 who said "yes." Use a 90% confidence level. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. D

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,2, (b) find the critical value z12, or (c) state that neither the normal distribution
40-
nor the t distribution applies.
30-
The confidence level is 90%, o is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown.
20-
10-
4000
8000 12000 16000 2000
Salary (thousands of dollars)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
ta/2 =
(Round to two decimal places as needed.)
В.
Za12
(Round to two decimal places as needed.)
C. Neither the normal distribution nor the t distribution applies.
Frequency

Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1058 and x = 597 who said "yes." Use a 90% confidence level.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E =
(Round to three decimal places as needed.)
c) Construct the confidence interval.
]<p<[
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. One has 90% confidence that the sample proportion is equal to the population proportion.
O B. There is a 90% chance that the true value of the popul
tion
ion will fall between the lower bound and the upper bound.
C. 90% of sample proportions will fall between the lower bound and the upper bound.
D. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

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