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b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval iscmcm. (Round to one decimal place as needed.)

b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval iscmcm. (Round to one decimal place as needed.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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Solve for B and if you could show how to do it on a ti 84 plus that would be great

A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 183 175 184 187 203 165 Height (cm) of Main Opponent 165 186 178 178 187 172 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Md 0 cm H₁: Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t = 1.06 (Round to two decimal places as needed.) Identify the P-value. P-value = .168 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? greater than Since the P-value is the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is cm <Hd (Round to one decimal place as needed.) cm.
Transcribed Image Text:A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 183 175 184 187 203 165 Height (cm) of Main Opponent 165 186 178 178 187 172 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Md 0 cm H₁: Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t = 1.06 (Round to two decimal places as needed.) Identify the P-value. P-value = .168 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? greater than Since the P-value is the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is cm <Hd (Round to one decimal place as needed.) cm.
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