1. Data from Gallup collected in May 2019 shows that the proportion of American adults that support same-sex marriage is 0.65. Assume this is the true population parameter for American adults. a. If we randomly select 30 American adults, show that we satisfy the requirement for normality of the sampling distribution. That is, show that and ≥10(1―.)≥10

b. What is the mean of the sampling distribution? That is, what is ?μ

c. What is the standard deviation of the sampling distribution? That is, what is ?σ

d. According to the empirical rule, 68% of all samples means fall within which two values?

e. What is the probability that a random sample of 30 American adults have a sample mean of at least ?=0.75

f. What is the probability that a random sample 30 American adults have a sample mean of less than =0.5?