Question

A data analytics firm hired by a Republican candidate running for political office wants to test whether its practices were successful in increasing voter turnout among registered Republicans. Suppose that data were collected for a random set of 10 cities, where each difference is calculated by subtracting the percent voter turnout before the candidate ran for office from the percent voter turnout from after the election. Assume that the populations are normally distributed. The firm uses the alternative hypothesis Ha:μd>0. Suppose the test statistic t is computed as t≈5.41, which has 9 degrees of freedom. What is the p-value for the hypothesis test, rounded to three decimal places?

Answer 1

Since $\mu_d$ > 0, this is a right tailed test.

The p value at t = 5.41, for df = 9 (using online calculators) = 0.000213   $\approx$   0.000 (Rounded to 3 decimal places)