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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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
Transcribed Image Text: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.
Transcribed Image Text: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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