Question

Violence in School, I An SRS of 400 American adults is asked “What do you think is the most serious problem facing our schools?” Suppose that in fact 40% of all adults would answer “violence” if asked this question. The proportion p of the sample who answers “violence” will vary in repeated sampling. In fact, we can assign probabilities to values of p using the normal density curve with mean 0.4 and standard deviation 0.023. Use the density curve to find the probabilities of the following event:


a.At least 45% of the sample believes that violence is the school’s most serious problem.

b.Less than 35% of the sample believes that violence is the most serious problem.

c.The sample proportion is between 0.35 and 0.45.