Question

the mayor of a town believes that under 36% of the residents favor construction of an adjoining bridge. is there sufficient evidence at the 0.05 level to support the mayors claim? after information is gathered from 380 voters and a hypothesis test is completed, the mayor fails to reject the null hypothesis at the 0.05 level. what is the conclusion regarding the mayors claim? answer there is sufficient evidence at the 0.05 level of significance that the percentage of residents who support the construction is under 36%. there is not sufficient evidence at the 0.05 level of significance that the percentage of residents who support the construction is under 36%.

Explanation:

In hypothesis - testing, when the null hypothesis is not rejected, it means that the data does not provide enough evidence to support the alternative hypothesis. Here, the mayor's claim is the alternative hypothesis. Since the mayor fails to reject the null hypothesis at the 0.05 significance level, there is not enough evidence to support the mayor's claim.

Answer:

There is not sufficient evidence at the 0.05 level of significance that the percentage of residents who support the construction is under 36 %.