It has been estimated that about half of prospective on-line customers select items and then cancel their transactions. Suppose that a company changed its Web site so that customers could use a single-page checkout process rather than multiple pages. A sample of 200 customers who had selected their products were provided with the new checkout system. Of these 200 customers, 82 cancelled their transactions after they had selected their products. a. At the 0.01 level of significance, is there evidence that the population proportion of customers who select products and then cancel their transaction is less than 0.50 with the new system? What are the correct hypotheses to test to determine if the proportion is less? Hn: H, What is the p-value? p-value = (Round to four decimal places as needed.) State the conclusion of the test. v the null hypothesis that the proportions are equal. There is V evidence to conclude that the population proportion of customers who select products and then cancel their transaction is less than 0.50 with the new system. b. Suppose that a sample of n = 100 customers (instead of n= 200 customers) were provided with the new checkout system and that 41 of those customers cancelled their transactions after they had selected their products. At the 0.01 level of significance, is there evidence that the population proportion of customers who select products and then cancel their transaction is less than 0.50 with the new system? What is the p-value for the smaller sample? p-value = (Round to four decimal places as needed.) State the conclusion of the test using this smaller sample at the 0.01 level of significance.