A program was created to randomly choose customers at a clothingstore to receive a discount. The program claims 22% of the receiptswill get a discount in the long run. The owner of the clothingstore is skeptical and believes the program's calculations areincorrect. He selects a random sample and finds that 17% receivedthe discount. The confidence interval is 0.17 ± 0.05 with allconditions for inference met.
Part A: Using the given confidence interval, is itstatistically evident that the program is not working? Explain. (3points)
Part B: Is it statistically evident from theconfidence interval that the program creates the discount with a0.22 probability? Explain. (2 points)
Part C: Another random sample of receipts istaken. This sample is five times the size of the original.Seventeen percent of the receipts in the second sample received thediscount. What is the value of margin of error based on the secondsample with the same confidence level as the original interval? (2points)
Part D: Using the margin of error from the secondsample in part C, is the program working as planned? Explain. (3points)
