In a random sample of 1000 people who went to the mall, researchers found that 765 of them had made a purchase.

a) Use your calculator to construct a 95% confidence interval for the proportion of shoppers who made a purchase.

Give your calculator command and values you used to show your work:

Enter each end point of your interval rounded to five decimal places:

( , )

b) Using the context of the problem, give an appropriate interpretation for the confidence interval you found above.

c) The local news claims that 75% of all people who went to the mall made a purchase. Does the confidence interval contradict this claim?

Yes or No?

Explain your decision: