7. According to a study done by the Pew Research Center, 39% of adult Ameri- cans believe that marriage is now obsolete. Suppose a random sample of 500 adult Americans is asked whether marriage is obsolete. (a) Describe the sampling distribution of p for sample size n = 500. Hint: Assume the population of adult Americans is at least 250,000,000. (b) What is the probability feat in a random sample of 500 adult Americans less than 38% believe that marriage is obsolete? (Set up the problem by hand. Use tables or technology to solve numerically.) (c) What is the probability that, in a random sample of 500 adult Americans between 40% and 45% believe that marriage is obsolete? (Set up the problem by hand. Use tables or technology to solve numerically.)