A survey of 2,250 adults reported that 52% watch news videos. Complete parts (a)

Question

A survey of 2,250 adults reported that 52% watch news videos. Complete parts (a) through (c) below. a Suppose that you take a sample of 100 adults. If the population proportion of adults who watch news videos is 0.52, what is the probability that fewer than half in your sample will watch news videos? The probability is 0.3445 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 500 adults. If the population proportion of adults who watch news videos is 0.52, what is the probability that fewer than half n your sample will watch news videos? The probability is .1854 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. OA 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 OB. Increasing the sample size by a factor of 5 increases the standard eror by a factor of V5.This causes the sampling distribution of the proportion to become more concentrated around the true population OC. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion proportion of 0.52 and decreases the probability in part (b) proportion of 0.52 and increases the probability in part (b)

Explanation / Answer

c) We can see that the probability has been decreased in part b) as we increased the sample size.

Hence,

Option A is correct.

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