In a Time/Money Magazine poll of Americans age 18 years and older, 65% agreed with the statement, “We are less sure our children will achieve the American Dream” (Time, October 10, 2011). Assume that this result is true for the current population of Americans age 18 years and older. Let p̂ be the proportion in a random sample of 600 Americans age 18 years and older who agree with the above statement. Find the mean and standard deviation of the sampling distribution of p̂ and describe its shape.
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