1. According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete.

a. Suppose a random sample of 500 adults american is asked whether marriage is obsolete. Describe the sampling distribution of ^p, the proportion of adult Americans who believe marriage is obsolete.

b. What is the probability that in a random sample of 500 adult Americans less than 38% believe that marriage is obsolete?

c. What is the probability that in a random sample of 500 adult Americans between 40% and 45% believe that marriage is obsolete?

d. would it be unusual for a random sample of 500 adult Americans to result is 210 or more who believe marriage is obsolete?

2 According to study conducted by the Gallup organization, the proportion of Americans who are afraid to fly is 0.10. A random sample of 1100 Americans results is 121 indicating that they are afraid to fly. why is this not necessarily evidence that the proportion of Americans who are afraid to fly has increased since the time of the Gallup study.