# Question: A Pew Research Center project on the state of news

A Pew Research Center project on the state of news media showed that digital video consumption is growing and digital news video consumption is growing with it. According to Pew Research data, 36% of U. S. adults watch news videos.

a. Suppose that you take a sample of 100 U. S. adults. If the population proportion of U. S. adults who watch news videos is 0.36, what is the probability that fewer than 30% in your sample will watch news videos?

b. Suppose that you take a sample of 400 U. S. adults. If the population proportion of U. S. adults who watch news videos is 0.36, what is the probability that fewer than 30% in your sample will watch news videos?

c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in (a) and (b).

a. Suppose that you take a sample of 100 U. S. adults. If the population proportion of U. S. adults who watch news videos is 0.36, what is the probability that fewer than 30% in your sample will watch news videos?

b. Suppose that you take a sample of 400 U. S. adults. If the population proportion of U. S. adults who watch news videos is 0.36, what is the probability that fewer than 30% in your sample will watch news videos?

c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in (a) and (b).

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