2. Surveys show that fewer people enjoy shopping in stores than in the past. A manager of a clothing store claims that 60% of all US. adults prefer shopping for clothes online rather than in a store. Suppose a random sample of 2500 US. adults were asked if they agreed or disagreed with the statement, \"I prefer to shop for clothes online rather than in a store.\" Let f) be the proportion of people in the sample that prefer to shop for clothes online rather than in a store. 5\" What is the shape, mean, and standard deviation of the sampling distribution of 1')? b. Of the poll respondents, 63% agreed. Find the probability of obtaining a sample of 2500 US. adults in which 63% or greater prefer shopping for clothes online, assuming the manager's claim is true. c. Based on your answer in part (b), do you have reason to doubt the manager's claim