Question: program was created to randomly choose customers at a store to receive a discount. The program says that 22% of the receipts will get a
program was created to randomly choose customers at a store to receive a discount. The program says that 22% of the receipts will get a discount in the long run. The owner of the store is skeptical and believes the program's calculations are not correct. He makes a random sample and finds that 17% of customers received the discount. The confidence interval is 0.17 0.05, and all conditions for inference are met.
:Using the given confidence interval, is it statistically evident that the program is not working? Explain.
:Is it statistically evident from the confidence interval that the program creates the discount with a 0.22 probability? Explain.
:Another random sample of receipts is taken. This sample is five times the size of the original. Seventeen 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?
:Using the margin of error from the second sample in the previous question, is the program working as planned? Explain.
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