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A survey of 2,350 adults reported that 51% got news both online and offline in a typical day. Complete parts (a) through (c) below. a. Suppose that you take a sample of 50 adults. If the population proportion of adults who get news both online and offline in a typical day is 0.51, what is the probability that fewer than half in your sample will get news both online and offline in a typical day? The probability is that fewer than half of the adults in the sample will get news both online and offline in a typical day (Round to four decimal places as needed ) b. Suppose that you take a sample of 250 adults. If the population proportion of adults who get news both online and offline in a typical day is 0.51, what is the probability that fewer than half in your sample will get news both online and offline in a typical day? The probability is that fewer than half of the adults in the sample will get news both online and offline in a typical day (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. Increasing the sample size by a factor of 5 decreases the standard error by a factor of v 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.51 and decreases the probability in part (b). O B. The probableties in parts (a) and (b) are the same, Increasing the sample size does not change the sampling distribution of the proportion. O C. Increasing the sample size by a factor of 5 increases the standard error by a factor of v'5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.51 and increases the probability in part (b). Click to select your answer(s)