4. A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed areheights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a)and (b) below.Height (cm) of PresidentHeight (cm) of Main Opponent 188 176 174 171 188 183194 185 182 187 191 172a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents andtheir main opponents, the differences have a mean greater than 0 cm.In this example, H is the mean value of the differences d for the population of all pairs of data, where each individualdifference d is defined as the president's height minus their main opponent's height. What are the null and alternativehypotheses for the hypothesis test?Ho: Ha (1)cmH1: Hd (2)cm(Type integers or decimals. Do not round.)Identify 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 is (3)the significance level, (4)–the null hypothesis. There(5).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 theconfidence interval leads to the same conclusion reached in part (a)?The confidence interval iscm < Hd <cm.(Round to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval contains (6)(7).the null hypothesis.(5) O isO is not(1)(2)(3) O less than or equal to(4)O reject%3Dgreater thanfail to reject(6) O only positive numbers,O zero,(7) O fail to rejectO rejectO only negative numbers,

Name: 4. A popular theory is that presidential candidates have an advantage
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 4. A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed areheights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a)