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MAT 133: Ch 8 Review WS, p.2 3. Let n = 165 and p = 0. 19. Assume a random, independent sample is drawn with npq 2 10 . Compute SE(p) (Give 5 decimal places) 4. A researcher studying the rate of home computer ownership in the U.S. takes a random sample of 56 Americans. If 89% of all U.S. households have home computers, how many more many more Americans does the researcher need to sample in order to ensure the sampling distribution is normally distributed? (Source) 5. A 2019 study published in the journal Child Development found that 73% of high school seniors in the U.S. have their driver's license. A random sample of 170 U.S. high school seniors is taken. (Source) Find the following: a. Verify that the conditions of the Central Limit Theorem for Proportions are met. b. Describe the sampling distribution of the sample proportion. (Give shape, center, and spread using symbols and formulas as necessary. Give 5 decimal places for spread.)