During the first 20 games of a basketball season, one player made 34 of her 40 free throws. A teammate made 35 of her 44 free throws. Assume that all conditions for running two proportion inference procedures have been met - even though this is questionable.

a) determine the two different standard errors you would use for the following procedures.

-Confidence interval

-test of significance

b) The 95% confidence interval for the difference in the two proportions (player-teammate) is about (-.11, 0.22). Interpret this interval.

c) if a two proportion z-test was run with the following hypotheses, would you expect to reject or fail the null? Explain your reasoning without conducting the test or determining the p-value.

H0 : P1 = P2

Ha P1 ≠ P2

where P1 represents the player's proportion of made free throws and P2 represents the teammate.