An SRS of 400 American adults is asked

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 answer “violence” will vary in repeated sampling. In fact, we can assign probabilities to values of ^p using the Normal density curve with mean 0.4 and standard deviation 0.024.

Use this density curve to find the probabilities of the event:
(b) Less than 35% of the sample believes that violence is the most serious problem.