Suppose you know that you are able to make a free throw 80 percent of the time. However in a basketball team trials you are being cautious and you...

Suppose you know that you are able to make a free throw 80 percent of the

time. However in a basketball team trials you are being cautious and you

claim to only be able to make 60 percent of shots. You want to convince a

coach that you are able to make the shot at least 60 percent of the time.

The coach lets you have 20 shots to demonstrate that you can make at least

60 percent of the shots. How many shots do you have to make so that the

coach has significant data rejecting the null hypothesis that you can not

make at least 60 percent of the shots ? What is the probability that this

test will demonstrate to the coach significant data to support your claim to

be able to make 60 percent of free throws.

[hint: this is a question about the power of this experiment].