Question

Mrs. Gallas was an all-star basketball player in high school. To prove that she still has skills,she took 50 free throws and made 31 of them. Think of these 50 shots as being a random sampleof all the free throws she has ever taken. Find a 99% confidence interval for the true proportion offree throws Mrs. Gallas would make

Answer 1

Number of throws = 50

Success throws = 31

Then 99% confidence interval ,

find for success throws

Probability P is =31/50 = 0.62

Now find mean M = 31

then interval would be

99% of 31 = 30.69

99% of 50 = 49.5

Then , between 49 throws and 51 throws , there will be 31 basket points

Interval is <49, 51>