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 _____. a. H0: p ≤.25 Ha: p >.25 b. H0: p > 25 Ha: p ≤ 25 c. H0: p ≥ .25 Ha: p <.25 d. H0: p <.25 Ha: p ≥ .25

Answer 1

Answer:
`H_0:p\leq0.25`

`H_a:p>0.25`

Explanation:

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

Let 'p' be the proportion of voters will participated in the school board elections.

Claim :
`p>0.25`

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

`H_0:p\leq0.25`

And the alternative hypothesis must be :-

`H_a:p>0.25`

Hence, the correct set of hypotheses is

`H_0:p\leq0.25`

`H_a:p>0.25`