A survey of 2,250 adults reported that 59% 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 0.59, what is the probability that fewer than half in your sample will watch newsvideos?

The probability is that fewer than half of the adults in the sample will watch news videos.

(Round to four decimal places asneeded.)

b. Suppose that you take a sample of 500 adults. If the population proportion of adults who watch news videos is 0.59, what is the probability that fewer than half in your sample will watch newsvideos?

The probability is that fewer than half of the adults in the sample will watch news videos.

(Round to four decimal places asneeded.)

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.