A department store at a large shopping mall asks the mall's manager for more prominent advertising space based on the store's claim that 60 percent of the mall's visitors shop at that store. The manager believes that the percentage of visitors who shop at the store in question is less than 60 percent and designs a test of significance for convincing evidence in favor of his belief. In a random sample of 100 mall visitors, the manager finds that 55 visitors shop at his store. Let p represent the proportion of the mall's visitors who shop at the store. What are the appropriate hypotheses for the manager's test of significance? Calculate the value of the test statistic for the test of significance. Supporting work is not required. Calculate the p-value of the test of significance. Supporting work is not required. Do the manager's data provide evidence that the percentage of visitors who shop at the store in question is less than 60 percent? Explain your conclusion. Based on the conclusion in the previous part, what type of error could have been committed in the hypothesis test