Part A

According to recent research, 51% of Americans have less than $350 in the bank for an emergency. Let p^(hat) be the proportion of people who have less than $350 in the bank for an emergency in a random sample of 63 Americans. Determine the probability that the proportion of people in a random sample of 63 Americans who have less than $350 in the bank for an emergency is within 3% of the population proportion. Round the solution to four decimal places. P(p^(hat) within 3% of the population proportion)=? Determine the probability that the proportion of people in a random sample of 63 Americans who have less than $350 in the bank for an emergency is greater than the population proportion by 2% or more. Round the solution to four decimal places. P(p^(hat) greater than the population proportion by 2% or more)=?

Part B

According to the Pew research center, 37% of Americans have not read a book in the past year. Let p^(hat) be the proportion of people that have not read a book in the past year in a random sample of 938 Americans. Determine the following probabilities. Round probability solutions to four decimal places, if necessary.

Find the probability that in a random sample of 938 Americans, at most 347 people have not read a book in the past year.

P(p^(hat) < ? )= ?

Find the probability that in a random sample of 938 Americans, between 310 and 385 people have not read a book in the past year.

P( ? < p^(hat) < ? )= ?