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Section 9.3 Homework
2.
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.
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?
Identify the test statistic.
Identify the P-value.
What is the conclusion based on the hypothesis test?
Since the P-value is _________ the significance level, ________the null hypothesis. There _______ sufficient evidence to support the claim that presidents tend to be taller than their opponents.
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
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains _______, ________ the null hypothesis.