Suppose that in a large lecture class of 500 students, 375 students (75%) attend the lecture regularly. The professor is going to take a poll of 30 randomly selected students. We will look at the percentage of these randomly selected students who attend lecture regularly.

(a) Write down the box model. Be sure to include the values on the tickets, the number of repeats of each value, and the number of times we'll draw from the box with replacement. (Remember, that we can use the box model where we draw with replacement as a good approximation to randomly sampling from a population, as long as the number of individuals sampled is small relative to the population.)

(b) The average of the ticket values in the box is __________ and the SD is __________.

(c) The expected value of the percentage of the 30 students who attend lecture regularly is __________, and the standard error is __________.

(d) A sample of size 30 seems small. Is it ok to use the normal approximation to find the chance that the percentage of the 30 students who attend lecture regularly is in a specific interval, such as between 70% and 80%? YES or NO (circle one) and justify your answer: