question #4 A survey of 2,250 adults reported that 52% watch news videos. Complete parts (a) through (c) below. Quest
Posted: Mon Jul 11, 2022 11:28 am
question #4
A survey of 2,250 adults reported that 52% watch news videos.Complete parts (a) through (c) below.
Question content area bottom Part 1 a. Suppose that you take asample of 50 adults. If the population proportion of adults whowatch news videos is 0.52, what is the probability that fewer thanhalf in your sample will watch news videos?
The probability is enter your response here that fewer than halfof the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
Part 2 b. Suppose that you take a sample of 250 adults. If thepopulation proportion of adults who watch news videos is 0.52,what is the probability that fewer than half in your sample willwatch news videos?
The probability is enter your response here that fewer than halfof the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
Part 3 c. Discuss the effect of sample size on the samplingdistribution of the proportion in general and the effect on theprobabilities in parts (a) and (b). Choose the correct answerbelow.
A. The probabilities in parts (a) and (b) are the same.Increasing the sample size does not change the samplingdistribution of the proportion.
B. Increasing the sample size by a factor of 5 increases thestandard error by a factor of 5. This causes the samplingdistribution of the proportion to become more concentrated aroundthe true population proportion of 0.52 and increases theprobability in part (b).
C. Increasing the sample size by a factor of 5 decreases thestandard error by a factor of 5. This causes the samplingdistribution of the proportion to become more concentrated aroundthe true population proportion of 0.52 and decreases theprobability in part (b).
A survey of 2,250 adults reported that 52% watch news videos.Complete parts (a) through (c) below.
Question content area bottom Part 1 a. Suppose that you take asample of 50 adults. If the population proportion of adults whowatch news videos is 0.52, what is the probability that fewer thanhalf in your sample will watch news videos?
The probability is enter your response here that fewer than halfof the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
Part 2 b. Suppose that you take a sample of 250 adults. If thepopulation proportion of adults who watch news videos is 0.52,what is the probability that fewer than half in your sample willwatch news videos?
The probability is enter your response here that fewer than halfof the adults in the sample will watch news videos.
(Round to four decimal places as needed.)
Part 3 c. Discuss the effect of sample size on the samplingdistribution of the proportion in general and the effect on theprobabilities in parts (a) and (b). Choose the correct answerbelow.
A. The probabilities in parts (a) and (b) are the same.Increasing the sample size does not change the samplingdistribution of the proportion.
B. Increasing the sample size by a factor of 5 increases thestandard error by a factor of 5. This causes the samplingdistribution of the proportion to become more concentrated aroundthe true population proportion of 0.52 and increases theprobability in part (b).
C. Increasing the sample size by a factor of 5 decreases thestandard error by a factor of 5. This causes the samplingdistribution of the proportion to become more concentrated aroundthe true population proportion of 0.52 and decreases theprobability in part (b).