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Question 15 < > The 2010 General Social Survey asked 1235 US residents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal a) Is 48% a statistic or a parameter? O Statistic since it came from all U.S. residents Statistic since it came from a sample of U.S. residents O Parameter since it came from all U.S. residents O Parameter since it came from a sample of U.S. residents Submit All Parts b) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal and round your answer to 4 decimal places. Lower bound: Upper bound:

Question 15 < > The 2010 General Social Survey asked 1235 US residents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal a) Is 48% a statistic or a parameter? O Statistic since it came from all U.S. residents Statistic since it came from a sample of U.S. residents O Parameter since it came from all U.S. residents O Parameter since it came from a sample of U.S. residents Submit All Parts b) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal and round your answer to 4 decimal places. Lower bound: Upper bound:

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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### Question 15 #### The 2010 General Social Survey asked 1235 U.S. residents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal. **a) Is 48% a statistic or a parameter?** - Statistic since it came from all U.S. residents - Statistic since it came from a sample of U.S. residents - Parameter since it came from all U.S. residents - Parameter since it came from a sample of U.S. residents **b) Construct a 95% confidence interval for the proportion of U.S. residents who think marijuana should be made legal and round your answer to 4 decimal places.** - Lower bound: _______ - Upper bound: _______ [Submit All Parts] --- ### Explanation: In part **(a)**, the question tests understanding of the distinction between a statistic and a parameter. A **statistic** is a characteristic or measure obtained by using the data values from a *sample*. A **parameter** is a characteristic or measure obtained by using all the data values from a *population*. In part **(b)**, the task involves calculating a 95% confidence interval for the given proportion. This involves using the formula for the confidence interval for a proportion: \[ \hat{p} \pm Z \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \] where: - \(\hat{p}\) is the sample proportion (0.48 in this case) - \(Z\) is the Z-value corresponding to the 95% confidence level (1.96) - \(n\) is the sample size (1235) The specific steps include calculating the margin of error and then determining the lower and upper bounds of the confidence interval.
Transcribed Image Text:### Question 15 #### The 2010 General Social Survey asked 1235 U.S. residents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal. **a) Is 48% a statistic or a parameter?** - Statistic since it came from all U.S. residents - Statistic since it came from a sample of U.S. residents - Parameter since it came from all U.S. residents - Parameter since it came from a sample of U.S. residents **b) Construct a 95% confidence interval for the proportion of U.S. residents who think marijuana should be made legal and round your answer to 4 decimal places.** - Lower bound: _______ - Upper bound: _______ [Submit All Parts] --- ### Explanation: In part **(a)**, the question tests understanding of the distinction between a statistic and a parameter. A **statistic** is a characteristic or measure obtained by using the data values from a *sample*. A **parameter** is a characteristic or measure obtained by using all the data values from a *population*. In part **(b)**, the task involves calculating a 95% confidence interval for the given proportion. This involves using the formula for the confidence interval for a proportion: \[ \hat{p} \pm Z \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \] where: - \(\hat{p}\) is the sample proportion (0.48 in this case) - \(Z\) is the Z-value corresponding to the 95% confidence level (1.96) - \(n\) is the sample size (1235) The specific steps include calculating the margin of error and then determining the lower and upper bounds of the confidence interval.
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