a) A city council member must decide how to vote on a measure toappropriate fund

Question

a) A city council member must decide how to vote on a measure toappropriate funds for road repairs. His fiscal decisions havebeen criticized in the past and so he decided to take a survey ofconstituents to find out whether they favor spending money for roadrepair. He will vote to appropriate funds only if he can be fairlycertain that a majority of the people in his district favor themeasure. What hypothesis should he test?

b) Briefly describe:
(i) type I error
(ii) Type II error
(iii) "Statistically significant but not practicallysignificant"

Explanation / Answer

HA: p > 0.50
Type I error is when he votes to appropriate funds but amajority of his constituents do not favor spending the money.
Type II error is when he does not vote to appropriate fundsbut a majority of his constituents do favor spending themoney.
Statistically significant would mean that the sampleproportion is far enough above 50% to convince us that a majorityof all constituents favor the spending, but not practicallysignificant means that only a slim majority actually favor thespending (e.g. 1,001 favor and 999 oppose). Type II error is when he does not vote to appropriate fundsbut a majority of his constituents do favor spending themoney.
Statistically significant would mean that the sampleproportion is far enough above 50% to convince us that a majorityof all constituents favor the spending, but not practicallysignificant means that only a slim majority actually favor thespending (e.g. 1,001 favor and 999 oppose).

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