According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is not obsolete. a.) Suppose a random sample of 500 adult Americans is asked whether marriage is...

According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage
is not obsolete.
a.) Suppose a random sample of 500 adult Americans is asked whether marriage is obsolete.
Describe the sampling distribution of ?̂, 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is obsolete.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believe that marriage is obsolete? Draw a graph that represents this probability.
c.) What is the probability that in a random sample of 500 adult Americans between 35% and
42% believe that marriage is obsolete? Draw a graph that represents this probability.
d.) Would it be unusual for a random sample of 500 adult Americans to result in 210 or more
who believe marriage is obsolete? Draw a graph that represents this probability.