Q:

A band selects 404040 ticket-holders at random from each concert to win t-shirts. The band knows that 55\%55%55, percent of the ticket-holders buy their tickets at least a month before the concert. Suppose the band calculated the proportion \hat p p^​ of winners from each concert who bought their tickets at least a month before the concert.Which of the following distributions is the best approximation of the sampling distribution of \hat p p^​ ?Each distribution uses the same scale.Choose 1 answer:Choose 1 answer:(Choice A, Checked)A(Choice B)B(Choice C)C(Choice D)D

Accepted Solution

A:
Answer:They would be normally distributed.Step-by-step explanation:Because there are more than 30 samples, the distribution would closely resemble the normal distribution.40 ticketholders are winning the contest. 40 β‰₯ 30. This is enough to make the distribution approximately normal.