According to a recent poll, 71% 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. Complete parts a through pelow. . Find the mean of the sampling distribution of p. EP = (Round to two decimal places as needed.) p. Find the standard deviation of the sampling distribution of p. . = (Round to four decimal places as needed.) c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? OA. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. O B. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. O C. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. O D. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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According to a recent poll, 71% 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. Complete parts a through e
below.
a. Find the mean of the sampling distribution of p.
E p = (Round to two decimal places as needed.)
b. Find the standard deviation of the sampling distribution of p.
GA = (Round to four decimal places as needed.)
c. What does the Central Limit Theorem say about the shape of the sampling distribution of p?
O A. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution.
O B. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal.
O C. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean.
O D. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p.
d. Compute the probability that p is less than 0.77.
P(6<0.77) =O (Round to three decimal places as needed.)
e. Compute the probability that p is greater than 0.55.
Pp>0.55) = (Round to three decimal places as needed.)
Transcribed Image Text:According to a recent poll, 71% 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. Complete parts a through e below. a. Find the mean of the sampling distribution of p. E p = (Round to two decimal places as needed.) b. Find the standard deviation of the sampling distribution of p. GA = (Round to four decimal places as needed.) c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? O A. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. O B. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. O C. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. O D. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p. d. Compute the probability that p is less than 0.77. P(6<0.77) =O (Round to three decimal places as needed.) e. Compute the probability that p is greater than 0.55. Pp>0.55) = (Round to three decimal places as needed.)
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