7.2 Performance Assessment Name: Surveys show that fewer people enjoy shopping in stores than in the past. A manager of a clothing store claims that 60% of all U.S. adults prefer shopping for clothes online rather than in a store. Suppose a random sample of 2500 U.S. adults were asked if they agreed or disagreed with the statement, \"I prefer to shop for clothes online rather than a store}: Let? be the proportion of people inthe sample that prefer to shop for clothes online ratherthana store. 1. What is the shape, mean, and standard deviation of the sampling distribution ofp' ? 2. Of the poll respondents, 63% agreed. Find the probability of obtaining a sample of 2500 U.S. adults in which 63% or greater prefer shopping for clothes onJine, assuming the manger's claim is true. 3. Based on your answer in part (1)), do you have reason to doubt the manager's claim