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

Question

2 years ago

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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

Mathematics

1 answer:

drek231 [11] · Answer 1 · 2022-07-08T15:09:38+03:00

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 ≥ 30. This is enough to make the distribution approximately normal.