A recent study daimed that 65% of the population of all college students prefer printed textbooks to electronic textbooks. You want to test this clalm by surveying a random sample of 96 college students. Follow the steps below to construct a 99% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Number Proportion Take Sample Prefers printed textbooks to electronic textbooks 72 0.75 Does not prefer printed textbooks to electronic textbooks 24 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard error: values Point estimate: 20,005 - 2.576 Margin of error: 20.010 2.326 Critical value: 20.025 1.960 99% confidence interval: F0.050 - 1.645 Compute F0.100 1.282 (b) Based on your sample, graph the 99% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. • Enter the values for the lower and upper limits on the graph to show your confidence interval. For the point (+), enter the claim 0.65 from the study. 99% confidence interval: 0.000 1.000 0.500
A recent study daimed that 65% of the population of all college students prefer printed textbooks to electronic textbooks. You want to test this clalm by surveying a random sample of 96 college students. Follow the steps below to construct a 99% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Number Proportion Take Sample Prefers printed textbooks to electronic textbooks 72 0.75 Does not prefer printed textbooks to electronic textbooks 24 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard error: values Point estimate: 20,005 - 2.576 Margin of error: 20.010 2.326 Critical value: 20.025 1.960 99% confidence interval: F0.050 - 1.645 Compute F0.100 1.282 (b) Based on your sample, graph the 99% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. • Enter the values for the lower and upper limits on the graph to show your confidence interval. For the point (+), enter the claim 0.65 from the study. 99% confidence interval: 0.000 1.000 0.500
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:A recent study daimed that 65% of the population of all college students prefer printed textbooks to electronic textbooks.
You want to test this clalm by surveying a random sample of 96 college students.
Follow the steps below to construct a 99% confidence interval for the population proportion of all college students who prefer
printed textbooks to electronic textbooks. Then state whether the confidence interval you construct contradicts the study's
claim. (If necessary, consult a list of formulas.)
(a)
Click on "Take Sample" to see the results from the random sample.
Number
Proportion
Take Sample
Prefers printed textbooks to electronic textbooks
72
0.75
Does not prefer printed textbooks to electronic
textbooks
24
0.25
Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for
your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you
are done, select "Compute".
Sample size:
Standard error:
values
Point estimate:
20,005 - 2.576
Margin of error:
0.010 2.326
Critical value:
20.025 = 1.960
99% confidence interval:
F0.050 - 1.645
Compute
F0.100 1.282
(b)
Based on your sample, graph the 99% confidence interval for the population proportion of all college students who
prefer printed textbooks to electronic textbooks.
Enter the values for the lower and upper limits on the graph to show your confidence interval.
For the point (+), enter the claim 0.65 from the study.
99% confidence interval:
0.000
1.000
0.500
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