According to a recent poll, 69% of adults who use the Internet have paid to down

Question

According to a recent poll, 69% of adults who use the Internet have paid to download music. In a random sample of n=750 adults who use the Internet, let p represent the proportion who have paid to download music.

What does the Central Limit Theorem say about the shape of the sampling distribution of ^p?

a. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of ^p will become approximately normal.

b. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of ^p will approach the population distribution.

c.The Central Limit Theorem does ^p because it is not a population mean.

d. The Central Limit Theorem says that the shape of the sampling ^p is completely determined by the population parameter p.

Compute the probability that ^p with is less than 0.770.77.

p(^p<0.77) =

Explanation / Answer

a) a. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of ^p will become approximately normal.

is correct

b) P(p^ < 0.77)

P(Z< ( 0.77 - 0.69)/sqrt(0.69 *0.31/750))

= P(Z < 4.737129)

= 0.999999

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