Suppose 13% of American adults believe that the highest priority of America is to protect freedom of speech. We will take a random sample of 2 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is. a. approximately Normal, with mean .b. 13 and standard error .c. 238 approximately Normal, with unknown mean and standard deviation. d. Binomial, with n=2 and p=.13. e. neither Normal, not Binomial.

Then the sampling distribution of the sample proportion of people who answer yes to the question is d. Binomial, with n=2 and p=.13

Step-by-step explanation:

Here, we are given a probability that 13% of American adults believe that the highest priority of America is to protect freedom of speech, which means,  if we ask this question to a sample of American adults, they will answer 'yes' with a probability of p=0.13 and 'no' with a probability of q = 1=p = 1 - 0.13 = 0.87. So, we can say that there are 2 outcomes, either yes or no, each with probabilities p and q, respectively.

Hence, this is a binomial distribution with n=2 and p=0.13. Where n is the total number of people who answered the question and p is the probability of them answering 'yes'. d is the correct option.

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