Question: A politician is trying to decide whether to vote for a new tax bill that calls for substantial reforms. A random sample of voters in his district leads him to believe the alternative hypothesis, Ha: p > .5, where p is the proportion of all voters in his district who support the bill. As a consequence, he decides to vote for the bill.
a. What would a Type 1 error be in this situation, and what would be the consequences for the politician?
b. What would a Type 2 error be in this situation, and what would be the consequences for the politician?
c. Explain which error would be more serious, if either, for the politician in this example.
d. Given the situation described, could the politician have made a Type 1 error or a Type 2 error?