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 Height (cm) of Main Opponent 174 181 177 178 197 169 187 169 179 185 190 174 O a. Use the sample data with a 0.01 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, Hg 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? Also, Identify the test statistic.

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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
Height (cm) of Main Opponent 174 181 177 178 197 169
187 169 179 185 190 174
a. Use the sample data with a 0.01 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, 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. What are the null and alternative hypotheses for the hypothesis test?
Also,
Identify the test statistic.
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 Height (cm) of Main Opponent 174 181 177 178 197 169 187 169 179 185 190 174 a. Use the sample data with a 0.01 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, 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. What are the null and alternative hypotheses for the hypothesis test? Also, Identify the test statistic.
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