Question 4 (Essay Worth 10 points) (05.04 HC)
A program was created to randomly choose customers
at a sporting goods store to receive a discount. The program claims 25% of the
receipts will get a discount
in the long run. The manager of the sporting goods store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds
that 22% received the discount. The confidence interval is 0.22 +0.04 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample
received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part, is the program working as planned? Explain. (3 points)
PLEASE HELP ASAP!! 30 POINTS!