A recent study claimed that 66% of the population of all college students prefer printed textbooks to electronic textbooks. You want to test this claim by surveying a random sample of 68 college students. Follow the steps below to construct a 95% 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. Take Sample Sample size: 0 Point estimate: Critical value: 0 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Compute Prefers printed textbooks to electronic textbooks 0.000 Does not prefer printed textbooks to electronic textbooks 0.000 Standard error: Margin of error: 95% confidence interval: Number (b) Based on your sample, graph the 95% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. Proportion • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (◆), enter the claim 0.66 from the study. 95% confidence interval: 0.500 Critical values 20.005 = 2.576 20.010 = 2.326 20.025 = 1.960 20.050= 1.645 20.100 = 1.282 1.000 1.000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A recent study claimed that 66% of the population of all college students prefer printed textbooks to electronic textbooks. You want to test this claim by
surveying a random sample of 68 college students.
Follow the steps below to construct a 95% 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.
Take Sample
Sample size:
0
Point estimate:
Critical value:
Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence
interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Compute
Prefers printed textbooks to electronic
textbooks
0.000
Does not prefer printed textbooks to
electronic textbooks
0.000
Standard error:
Margin of error:
95% confidence interval:
Number
Proportion
(b) Based on your sample, graph the 95% confidence interval for the population proportion of all college students who prefer printed textbooks to
electronic textbooks.
95% confidence interval:
Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (+), enter the claim 0.66 from the study.
0.500
X
Critical values
²0.005 = 2.576
²0.010 = 2.326
20.025 = 1.960
²0.050 = 1.645
20.100 = 1.282
1.000
1.000
Transcribed Image Text:A recent study claimed that 66% of the population of all college students prefer printed textbooks to electronic textbooks. You want to test this claim by surveying a random sample of 68 college students. Follow the steps below to construct a 95% 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. Take Sample Sample size: 0 Point estimate: Critical value: Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Compute Prefers printed textbooks to electronic textbooks 0.000 Does not prefer printed textbooks to electronic textbooks 0.000 Standard error: Margin of error: 95% confidence interval: Number Proportion (b) Based on your sample, graph the 95% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. 95% confidence interval: Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (+), enter the claim 0.66 from the study. 0.500 X Critical values ²0.005 = 2.576 ²0.010 = 2.326 20.025 = 1.960 ²0.050 = 1.645 20.100 = 1.282 1.000 1.000
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