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The January 17, 1994 issue of Time magazine reported that 58% of adult Americans said yes to the question "If you or your spouse were pregnant, would you want the unborn child tested for genetic defects?" These results were based on a telephone poll of 500 adult Americans. Let p equal the proportion of adult Americans who would say yes to this question.

a) Give the endpoints for a 90% confidence interval for p.

b) The poll takers claimed that their sampling error was 4.5%. What is their confidence coefficient?

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