question #4 A survey of 2,250 adults reported that 52​% watch news videos. Complete parts​ (a) through​ (c) below. Quest

[answerhappygod]

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).