Question

A pitcher pitched in a game last night and threw 110 pitches, of which 77 pitches...


A pitcher pitched in a game last night and threw 110 pitches, of which 77 pitches were strikes.
a. Construct a 90% confidence interval for the true proportion of strikes for the entire season (this night’s game should be considered a sample of all games in the season).

b. At the 99% level test the alternate hypothesis that the true proportion of strikes is greater than 0.67.

c. What sample size is required if you wanted to be 95% sure that the true proportion of strikes to total pitches is within two percentage points?

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