Question

Surveys show that fewer people enjoy shopping in stores that 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 in a store." Let p? be the proportion of people in the sample that prefer to shop for clothes online rather than in a store. (a) What is the shape, mean, and standard deviation of the sampling distribution of p?? (b) Of the poll respondents, 63% agreed. Find the probability of obtaining a sample of 2500 U.S. adults in which 63% or greter prefer shopping for clothes online, assuming the manager's claim is true. (c) Based on your answer in part (b), do you have a reason to doubt the manager's claim?

          Surveys show that fewer people enjoy shopping in stores that 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 in a store." Let p? be the proportion of people in the sample that prefer to shop for clothes online rather than in a store.

(a) What is the shape, mean, and standard deviation of the sampling distribution of p??
(b) Of the poll respondents, 63% agreed. Find the probability of obtaining a sample of 2500 U.S. adults in which 63% or greter prefer shopping for clothes online, assuming the manager's claim is true.
(c) Based on your answer in part (b), do you have a reason to doubt the manager's claim?

Surveys show that fewer people enjoy shopping in stores that 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 in a store." Let p? be the proportion of people in the sample that prefer to shop for clothes online rather than in a store.

(a) What is the shape, mean, and standard deviation of the sampling distribution of p??
(b) Of the poll respondents, 63% agreed. Find the probability of obtaining a sample of 2500 U.S. adults in which 63% or greter prefer shopping for clothes online, assuming the manager's claim is true.
(c) Based on your answer in part (b), do you have a reason to doubt the manager's claim?

Added by Andrea R.

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