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 cannot 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?