How many free throws must the second player make in a row


Question:

Assume that we are estimating 2 different basketball players'' free throw shooting accuracy. The first basketball player is on a collegiate team and plays the sport almost daily year round. After watching that player shoot, we estimate that she will make 85% (.85) of her free throws. The second player, a doofus college professor with little athletic ability, is similarly observed and his free throw average is estimated at 15%. How many free throws must the first player make in a row before you can confidently reject the following null hypothesis:

Ha: The player''s free throw percentage was incorrectly estimated

Ho: The player''s free throw percentage was not incorrectly estimated

How many free throws must the second player make in a row in order to confidently reject the same null hypothesis? Use the 95% level of confidence for both players.

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