ICs all politics: A politician in a close election race claims that 52% of the voters support him. A poll is taken in which 200 voters are sampled, and 44% of them support the politician.
a. If the claim is true, what is the probability of obtaining a sample proportion that is less than or equal to 0.44?
b. If the claim is true, would it be unusual to obtain a sample proportion less than or equal to 0.44?
c. If the claim is true, would it be unusual for less than half of the voters in the sample to support the politician?