Example 1 of the Chapter 9 Examples, we couldn't prove the player made over 80% of all of her free throws at the 1% significance level even though she made 53 out of 60 (which is 88.3%). (a)  If she made 88.3% of the 60 free throws, why are we not able to show that she makes over 80%?  (b) How many of the 60 would she have to make so that we could prove that she makes over 80% at the 1% significance level.  Derive your answer mathematically (not by trial and error)  (c)  At what significance level would 53 out of 60 allowed us to prove she can make over 80%?

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Example 1 of the Chapter 9 Examples, we couldn't prove the player made over 80% of all of her free throws at the 1% significance level even though she made 53 out of 60 (which is 88.3%).

(a)  If she made 88.3% of the 60 free throws, why are we not able to show that she makes over 80%? 

(b) How many of the 60 would she have to make so that we could prove that she makes over 80% at the 1% significance level.  Derive your answer mathematically (not by trial and error) 

(c)  At what significance level would 53 out of 60 allowed us to prove she can make over 80%? 

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