Suppose that 15% of the 1750 students at a school have experienced extreme levels of stress during the past month. A high school newspaper doesn't know this figure, but they are curious what it is, so they decide to ask a
simple random sample of 160 students if they have experienced extreme levels of stress during the past month.
Subsequently, they find that 10% of the sample replied "yes" to the question.
Assuming the true proportion is 15%, what is the approximate probability that more than 10% of the sample
would report that they experienced extreme levels of stress during the past month?