A survey of 2,250 adults reported that 58% watch news videos. Complete parts (a) through (c) below. a. Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) b. Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in parts (a) and (b). Choose the correct answer below. O A. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion. O B. Increasing the sample size by a factor of 5 increases the standard error by a factor of y5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.58 and increases the probability in part (b). O C. Increasing the sample size by a factor of 5 decreases the standard error by a factor of y5. This causes the sampling distribution of the proportion decreases the probability in part (b). become more concentrated around the true population proportion of 0.58 and
A survey of 2,250 adults reported that 58% watch news videos. Complete parts (a) through (c) below. a. Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) b. Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in parts (a) and (b). Choose the correct answer below. O A. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion. O B. Increasing the sample size by a factor of 5 increases the standard error by a factor of y5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.58 and increases the probability in part (b). O C. Increasing the sample size by a factor of 5 decreases the standard error by a factor of y5. This causes the sampling distribution of the proportion decreases the probability in part (b). become more concentrated around the true population proportion of 0.58 and
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:A survey of 2,250 adults reported that 58% watch news videos. Complete parts (a) through (c) below.
.... .
Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos?
а.
The probability is
that fewer than half of the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
b.
Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos?
The probability is
that fewer than half of the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
c.
Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in parts (a) and (b).
Choose the correct answer below.
A. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion.
B. Increasing the sample size by a factor of 5 increases the standard error by a factor of v5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.58 and
increases the probability in part (b).
С.
Increasing the sample size by a factor of 5 decreases the standard error by a factor of V5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.58 and
decreases the probability in part (b).
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