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A recent study claimed that 54% 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 40 college students. Follow the steps below to construct a 90% 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 randam sample. Take Sample Sample size: Point estimate: 0 Critical value: 0 Compute Explanation Prefers printed textbooks to electronic textbooks Does not prefer printed textbooks to electronic Check textbooks Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Number 90% confidence interval: 26 14 X Critical values 0.005 2.576 20.010-2.326 20.025 1.960 0.050 1.645 1.282 Proportion 20.100 0.65 0.35 $. Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use | Privacy Center Accessibility امه

A recent study claimed that 54% 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 40 college students. Follow the steps below to construct a 90% 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 randam sample. Take Sample Sample size: Point estimate: 0 Critical value: 0 Compute Explanation Prefers printed textbooks to electronic textbooks Does not prefer printed textbooks to electronic Check textbooks Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Number 90% confidence interval: 26 14 X Critical values 0.005 2.576 20.010-2.326 20.025 1.960 0.050 1.645 1.282 Proportion 20.100 0.65 0.35 $. Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use | Privacy Center Accessibility امه

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A recent study claimed that 54% of the population of all college students preferred printed textbooks to electronic textbooks. You want to test this claim by surveying a random sample of 40 college students. Follow the steps below to construct a 90% 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. | Prefers printed textbooks to electronic textbooks | Number | Proportion | |--------------------------------------------------|--------|------------| | Yes | 26 | 0.65 | | No | 14 | 0.35 | Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute." - **Sample size:** [ ] - **Point estimate:** [ ] - **Critical value:** [ ] **Critical Values Table:** | Level | Critical Value (z) | |--------------|---------------------| | 0.005 | 2.576 | | 0.010 | 2.326 | | 0.025 | 1.960 | | 0.050 | 1.645 | | 0.100 | 1.282 | - Standard error: - Margin of error: - 90% confidence interval: Click "Compute" to calculate the values based on the information provided. ##### Buttons Available: - Compute - Explanation - Check This guide helps in understanding how to create and analyze confidence intervals to test statistical claims using sample data.
Transcribed Image Text:A recent study claimed that 54% of the population of all college students preferred printed textbooks to electronic textbooks. You want to test this claim by surveying a random sample of 40 college students. Follow the steps below to construct a 90% 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. | Prefers printed textbooks to electronic textbooks | Number | Proportion | |--------------------------------------------------|--------|------------| | Yes | 26 | 0.65 | | No | 14 | 0.35 | Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute." - **Sample size:** [ ] - **Point estimate:** [ ] - **Critical value:** [ ] **Critical Values Table:** | Level | Critical Value (z) | |--------------|---------------------| | 0.005 | 2.576 | | 0.010 | 2.326 | | 0.025 | 1.960 | | 0.050 | 1.645 | | 0.100 | 1.282 | - Standard error: - Margin of error: - 90% confidence interval: Click "Compute" to calculate the values based on the information provided. ##### Buttons Available: - Compute - Explanation - Check This guide helps in understanding how to create and analyze confidence intervals to test statistical claims using sample data.
**Educational Website Content:** ### Constructing a Confidence Interval to Test a Claim #### Context: Based on your sample, graph the 90% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. #### Instructions: - Enter the values for the lower and upper limits on the graph to show your confidence interval. - For the point (★), enter the claim 0.54 from the study. #### Diagram Explanation: The graph titled "90% Confidence Interval" shows a horizontal line representing the range from 0 to 1. The midpoint at 0.500 is labeled. A point (★) at 0.54 is indicated, representing the claim from the study. #### Question: Does the 90% confidence interval you constructed contradict the claim from the study? Choose the best answer from the choices below: - O No, the confidence interval does not contradict the claim. The proportion 0.54 from the study is inside the 90% confidence interval. - O No, the confidence interval does not contradict the claim. The proportion 0.54 from the study is outside the 90% confidence interval. - O Yes, the confidence interval contradicts the claim. The proportion 0.54 from the study is inside the 90% confidence interval. - O Yes, the confidence interval contradicts the claim. The proportion 0.54 from the study is outside the 90% confidence interval. #### Action: Select "Explanation" for guidance or "Check" to verify your answer.
Transcribed Image Text:**Educational Website Content:** ### Constructing a Confidence Interval to Test a Claim #### Context: Based on your sample, graph the 90% confidence interval for the population proportion of all college students who prefer printed textbooks to electronic textbooks. #### Instructions: - Enter the values for the lower and upper limits on the graph to show your confidence interval. - For the point (★), enter the claim 0.54 from the study. #### Diagram Explanation: The graph titled "90% Confidence Interval" shows a horizontal line representing the range from 0 to 1. The midpoint at 0.500 is labeled. A point (★) at 0.54 is indicated, representing the claim from the study. #### Question: Does the 90% confidence interval you constructed contradict the claim from the study? Choose the best answer from the choices below: - O No, the confidence interval does not contradict the claim. The proportion 0.54 from the study is inside the 90% confidence interval. - O No, the confidence interval does not contradict the claim. The proportion 0.54 from the study is outside the 90% confidence interval. - O Yes, the confidence interval contradicts the claim. The proportion 0.54 from the study is inside the 90% confidence interval. - O Yes, the confidence interval contradicts the claim. The proportion 0.54 from the study is outside the 90% confidence interval. #### Action: Select "Explanation" for guidance or "Check" to verify your answer.
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