Question

Colin is a student in a statistics course looking to show whether the proportion of games played that are won by the visiting team in a certain professional lacrosse league is 50%. Colin randomly selects 83 games from the past few seasons and finds that 37 of the games were won by the visiting team. What are the null and alternative hypotheses for this hypothesis test?

{H0:p=0.5Ha:p<0.5

{H0:p=0.5Ha:p>0.5

{H0:p≠0.5Ha:p=0.5

{H0:p=0.5Ha:p≠0.5

Question

A researcher claims that the proportion of college students who plan to participate in community service after graduation is greater than 35%.  To test this claim, a survey asked 500 randomly selected college students if they planned to perform community service after graduation. Of those students, 195 indicated they planned to perform community service.

The following is the setup for the hypothesis test:

{H0:p=0.35Ha:p>0.35

Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Ans:_______________

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