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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

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 randomly selected set of10

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. Using a test statistic oft5.412

, the significance level=0.05

, and the corresponding p-value less than0.01

, draw a conclusion for the appropriate hypothesis test, where the null hypothesis isH0:d=0

and the alternative hypothesis isHa:d>0

.

Select all that apply:

  • Reject the null hypothesis.
  • Fail to reject the null hypothesis.
  • The conclusion of the hypothesis test is that there is sufficient evidence tosuggest that the firm's practices were successful in increasing voter turnout among registered Republicans.
  • The conclusion of the hypothesis test is that there is insufficient evidence tosuggest that the firm's practices were successful in increasing voter turnout among registered Republicans.

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