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Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq. a) Let py represent the proportion of females that favor the war, Pμ represent the proportion of males that favor the war. What are the proper hypotheses? O Ho: Pr PM versus Ha: PF > PM O Ho: Pr - PM versus Ha: Pr PM O Ho: Pr - PM versus Ha: Pr < PM O Ho: Pr < PM versus Ha: Pr - PM b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. [ c) What is the P-value for the test? Give your answer to four decimal places. [ d) Using a 0.01 level of significance, what conclusion should be reached? 0.01

Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq. a) Let py represent the proportion of females that favor the war, Pμ represent the proportion of males that favor the war. What are the proper hypotheses? O Ho: Pr PM versus Ha: PF > PM O Ho: Pr - PM versus Ha: Pr PM O Ho: Pr - PM versus Ha: Pr < PM O Ho: Pr < PM versus Ha: Pr - PM b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. [ c) What is the P-value for the test? Give your answer to four decimal places. [ d) Using a 0.01 level of significance, what conclusion should be reached? 0.01

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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Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq. a) Let pf represent the proportion of females that favor the war, PM represent the proportion of males that favor the war. What are the proper hypotheses? O Ho: PF - PM versus Ha: PF > PM O Ho: PF - PM versus Ha: PF # PM O Ho: PF - PM versus Ha: PF < PM O Ho: PF < PM versus Ha: PF = PM b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. c) What is the P-value for the test? Give your answer to four decimal places. d) Using a 0.01 level of significance, what conclusion should be reached? O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is less than 0.01. The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is less than 0.01. O The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01. O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is greater than 0.01. e) What is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer to decimal places. f) What is the upper endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer t decimal places.
Transcribed Image Text:Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq. a) Let pf represent the proportion of females that favor the war, PM represent the proportion of males that favor the war. What are the proper hypotheses? O Ho: PF - PM versus Ha: PF > PM O Ho: PF - PM versus Ha: PF # PM O Ho: PF - PM versus Ha: PF < PM O Ho: PF < PM versus Ha: PF = PM b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. c) What is the P-value for the test? Give your answer to four decimal places. d) Using a 0.01 level of significance, what conclusion should be reached? O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is less than 0.01. The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is less than 0.01. O The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01. O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is greater than 0.01. e) What is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer to decimal places. f) What is the upper endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer t decimal places.
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