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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman