Question

the mayor of a town believes that over 27% of the residents favor construction of an adjoining bridge. is there sufficient evidence at the 0.02 level to support the mayors claim? after information is gathered from 420 voters and a hypothesis test is completed, the mayor decides to reject the null hypothesis at the 0.02 level. what is the conclusion regarding the mayors claim? answer there is sufficient evidence at the 0.02 level of significance that the percentage of residents who support the construction is over 27%. there is not sufficient evidence at the 0.02 level of significance that the percentage of residents who support the construction is over 27%.

Explanation:

In hypothesis - testing, when the null hypothesis is rejected at a given significance level, it means that there is enough evidence to support the alternative hypothesis. Here, the mayor's claim is the alternative hypothesis (that over 27% of residents favor bridge construction), and since the null hypothesis is rejected at the 0.02 significance level, there is sufficient evidence for the mayor's claim.

Answer:

There is sufficient evidence at the 0.02 level of significance that the percentage of residents who support the construction is over 27 %.