survey of 2,250 adults reported that 55% 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 0.55, what is the probability that fewer than half in your sample will watch news videos? that fewer than half of the adults in the sample will watch news videos. he probability is Round to four decimal places as needed.) . Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.55, what is the probability that fewer than half in your sample will watch news videos? he probability is that fewer than half of the adults in the sample will watch news videos. Round to four decimal places as needed.) . 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). hoose the correct answer below. ) A. Increasing the sample size by a factor of 5 increases the standard error by a factor of 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.55 and increases the probability in part (b). O B. Increasing the sample size by a factor of 5 decreases the standard error by a factor of 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.55 and decreases the probability in part (b). O C. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion.
survey of 2,250 adults reported that 55% 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 0.55, what is the probability that fewer than half in your sample will watch news videos? that fewer than half of the adults in the sample will watch news videos. he probability is Round to four decimal places as needed.) . Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.55, what is the probability that fewer than half in your sample will watch news videos? he probability is that fewer than half of the adults in the sample will watch news videos. Round to four decimal places as needed.) . 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). hoose the correct answer below. ) A. Increasing the sample size by a factor of 5 increases the standard error by a factor of 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.55 and increases the probability in part (b). O B. Increasing the sample size by a factor of 5 decreases the standard error by a factor of 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.55 and decreases the probability in part (b). O C. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A survey of 2,250 adults reported that 55% 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 0.55, 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 0.55, 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.)
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).
c.
Choose the correct answer below.
O A. Increasing the sample size by a factor of 5 increases the standard error by a factor of 5. This causes the sampling
distribution of the proportion to become more concentrated around the true population proportion of 0.55 and increases the
probability in part (b).
O B. Increasing the sample size by a factor of 5 decreases the standard error by a factor of 5. This causes the sampling
distribution of the proportion to become more concentrated around the true population proportion of 0.55 and decreases
the probability in part (b).
O C. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of
the proportion.
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