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Gender Balance in Alaska and Rhode Island

APSTAT-1K04GJ

Based on the latest U.S. Census count, only 48.0% of Alaskans are female while 51.7% of Rhode Islanders are female.

What is the probability that randomly chosen samples of 50 residents from each of the two states would show a larger proportion of women in Alaska than in Rhode Island?

A

$0.356$

B

$0.396$

C

$0.604$

D

$0.644$

E

Since we know the true proportion of women in Rhode Island is greater than the true proportion of women in Alaska, it is not possible for a randomly selected sample from each state to show a larger proportion of women in Alaska.