Question

According to a recent poll, 64% of adults who use the Internet have paid to download music. In a random sample of size 1175, adults who use the Internet, let [^(p)] represent the sample proportion who have paid to download music.

1. Find the mean of the sampling distribution of [^(p)]. Answer to 2 decimal places.

A: 0.17

B: 0.38

C: 0.46

D: 0.64

E: 0.70

F: 0.83

2. Find the standard deviation of the sampling distribution of [^(p)]. Answer to 4 decimal places.

A: 0.0127

B: 0.0140

C: 0.1395

D: 0.3135

E: 0.4164

F: 0.5578

3. 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 approach the population distribution.
b) The Central Limit Theorem says that the shape of the sampling distribution of [^(p)] is completely determined by the population parameter p.
c) The Central Limit Theorem does not say anything about the sampling distribution of [^(p)] because it is not a population mean.
d) The Central Limit Theorem says that as the sample size grows large, the sampling distribution of [^(p)] will become approximately normal.

4. Compute the probability that [^(p)] is less than 0.624. Answer to 4 decimal places.

A: 0.1049

B: 0.1265

C: 0.2942

D: 0.3692

E: 0.4893

F: 0.5589

5. Find a such that P(0.64 − a < [^(p)] < 0.64 +a ) = 0.88. Answer to 3 decimal places.

A: 0.022

B: 0.056

C: 0.111

D: 0.266

E: 0.403

F: 0.484

Answer 1

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