4. A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic...

Extracted text: 4. A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. 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, and p, be the sample proportions of graduates and dropouts, respectively, who pass the test. a. What is the shape of the sampling distribution of p, - P,? Why? b. Find the mean of the sampling distribution. Show your work. c. Find the standard deviation of the sampling distribution. Show your work.