A Small City Is Considering Breaking Away from the County

Question

Examlex · Accepted Answer

The Answer is Since "more than 60 percent" is a strict inequality, this must go in the alternate hypothesis, so
the hypotheses are:
H0 : p ≤ 0.6
HA : p > 0.6
Since this a proportion, the normal distribution is used, and the test statistic for α = 0.10 is z = 1.28 and the
decision rule is:
Reject the null if Z > 1.28.
The test statistic formula is

Since more than 60 percent is a strict inequality, this must go in the alternate hypothesis, so the hypotheses are: H0 : p ≤ 0.6 HA : p > 0.6 Since this a proportion, the normal distribution is used, and the test statistic for α = 0.10 is z = 1.28 and the decision rule is: Reject the null if Z > 1.28. The test statistic formula is This does not fall in the rejection region since 0.6976 < 1.28, so we do not reject the null. This indicates the proportion of residents who support a city school district is not significantly greater than 0.6.

This does not fall in the rejection region since 0.6976 < 1.28, so we do not reject the null. This indicates the
proportion of residents who support a city school district is not significantly greater than 0.6.

A Small City Is Considering Breaking Away from the County

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