An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that in fact 45% of all adults would answer "violence" if asked this question. The proportion p of the sample who answer "violence" will vary in repeated sampling. In fact, we can assign probabilities to values of p using the normal density curve with mean 0.45 and standard deviation 0.025. Use this density curve to find the probabilities of the following events. (a) At least 50% of the sample believes that violence is the schools' most serious problem. (b) Less than 40% of the sample believes that violence if the most serious problem. (c) The sample proportion is between 0.4 and 0.5.

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An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that
in fact 45% of all adults would answer "violence" if asked this question. The proportion p of the sample who answer
"violence" will vary in repeated sampling. In fact, we can assign probabilities to values of p using the normal density curve
with mean 0.45 and standard deviation 0.025. Use this density curve to find the probabilities of the following events.
(a) At least 50% of the sample believes that violence is the schools' most serious problem.
(b) Less than 40% of the sample believes that violence if the most serious problem.
(c) The sample proportion is between 0.4 and 0.5.
Transcribed Image Text:An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that in fact 45% of all adults would answer "violence" if asked this question. The proportion p of the sample who answer "violence" will vary in repeated sampling. In fact, we can assign probabilities to values of p using the normal density curve with mean 0.45 and standard deviation 0.025. Use this density curve to find the probabilities of the following events. (a) At least 50% of the sample believes that violence is the schools' most serious problem. (b) Less than 40% of the sample believes that violence if the most serious problem. (c) The sample proportion is between 0.4 and 0.5.
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