I need help with these 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 President176 171 184 174184 165 DHeight (cm) of Main Opponent 184 181 188 173 182 178a. 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 O cm.In this example, Pd 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: Ha cmH1: Ha(Type integers or decimals. Do not round.)cmIdentify the test statistic.t= (Round to two decimal places as needed.)Identify the P-value.P-value = (Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?Since the P-value isV the significance level,the null hypothesis. ThereV 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 A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from nomally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.ProctoredNonproctoredP1H2n323577.9886.0311.4318.15a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored testsWhat are the null and alternative hypotheses?O A. Ho: H1 #H2H: H H2The test statistic, t, is |- (Round to two decimal places as needed.)The P-value is . (Round to three decimal places as needed.)State the conclusion for the test.O A. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.O B. Fail to reject Hn. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.O C. Fail to reject Ho- There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.O D. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.(Round to two decimal places as needed.)Does the confidence interval support the conclusion of the test?V because the confidence interval contains

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A popular heory 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 176 171 184 174 184 165 Height (om) of Main Opponent 104 181 106 173 182 178 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 em. In this example, Ha 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. WWhat are the null and alternative hypotheses for the hypothesis test? Ho: H cm H: om (Type integers or decimals. Do not round.) Identify the test statistio. -(Round to two decimal places as needed.) Identify the P.value. P.value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level Vthe null hypothesis. There V suficient evidence to support the elaim 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 om

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P