The Pew Research Center found that 38.6% of adult Americansbelieve that marriage is now obsolete. Suppose a random sample of550 American adults is asked whether marriage is obsolete. Describethe sampling distribution of \" role=\"presentation\">pˆby usingthe \" role=\"presentation\">N(mean,sd) notation and reporting themean and standard deviation of the sample proportion of Americanadults who believe that marriage is now obsolete. What is theprobability that in a random sample of 550 American adults thatless than 35% believe that marriage is obsolete? Explain yourmethod and TI calculation. What is the probability that in a randomsample of 550 American adults that between 45% and 50% believe thatmarriage is obsolete? Explain your method and TI calculation. Wouldit be unusual for a random sample of 550 American adults to resultin 260 or more who believe marriage is obsolete? How would youdetermine this?