Literacy A researcher reports that 80% of high school graduates, but only 40% of high school dropouts,
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Literacy A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test.5 Assume that the researcher’s claim is true. Suppose we give a basic literacy test to a random sample of 60 high school graduates and a separate random sample of 75 high school dropouts. Let p^G and p^D be the sample proportions of graduates and dropouts, respectively, who pass the test.
(a) What is the shape of the sampling distribution of p^G− p^D? Why?
(b) Find the mean of the sampling distribution. Show your work.
(c) Find the standard deviation of the sampling distribution.
Show your work.
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