Question

Suppose that 75% of adult Americans agree that, while downloading music from the Internet and then selling it is piracy and should be prohibited, downloading for personal use is an innocent act and should not be prohibited.We will take a random sample of 30 American adults and ask them if they agree with the statement. Then the sampling distribution of the sample proportion of people who answer yes to the question is___________.A. approximately Normal, with mean 0.75 and standard error 0.0791.B. approximately Normal, with unknown mean and standard deviation.C. Binomial, with n=30 and p=0.75.D. neither Normal, not Binomial.

Answer 1

C. Binomial, with n=30 and p=0.75

Explanation:

The distribution is a binomial distribution as the trials are independent and the outcome is a yes/no scenario. And the sample (n) is 30. Again the probability of a yes which is success (p) is 0.75.

A binomial distribution is the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times. It is also a type of distribution that has two possible outcomes. The prefix “bi” means two.