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Optimum Birth Month for NFL Hall of Fame Player?

APSTAT-KBJGJL

A very enthusiastic football fan wonders if there is a birth month that will give her baby the best chances of making it into the Pro Football Hall of Fame. To investigate, she conducts a hypothesis test to see if the distribution of birth months of players in the Hall of Fame is uniform across all 12 months of the year.

Which distribution should she use in her analysis? Why?

A

The z-distribution should be used because the hypothesis test is being written for a proportion.

B

The z-distribution should be used because the hypothesis test is being written to compare twelve categories.

C

The t-distribution should be used because the hypothesis test is being written to compare twelve categories.

D

The chi-square distribution should be used because the hypothesis test is being written for a proportion.

E

The chi-square distribution should be used because the hypothesis test is being written to compare twelve categories.