Question

In the past, 25% of the town residents participated in the school board elections. The town officials recently undertook an extensive campaign to encourage registered voters to participate in the election process. They are interested in determining whether the promotional campaign actually increased the proportion of voters. The correct set of hypotheses is _____.

Answer 1

H_0: p_1 =p_2\\H_a: p_1<p_2

Explanation:

Given that in the past, 25% of the town residents participated in the school board elections.

The town officials recently undertook an extensive campaign to encourage registered voters to participate in the election process. They are interested in determining whether the promotional campaign actually increased the proportion of voters.

Let p1 be the proportion before camaign and p2 after campaign for voters.

Hence the correct set of hypotheses would be

`H_0: p_1 =p_2\\H_a: p_1<p_2`

(Left tailed test for comparison of proportins)