Question

the mayor of a town believes that under 28% of the residents favor construction of a new community. is there sufficient evidence at the 0.10 level to support the mayors claim? after information is gathered from 330 voters and a hypothesis test is completed, the mayor decides to reject the null hypothesis at the 0.10 level. what is the conclusion regarding the mayors claim? answer there is sufficient evidence at the 0.10 level of significance that the percentage of residents who support the construction is under 28%. there is not sufficient evidence at the 0.10 level of significance that the percentage of residents who support the construction is under 28%.

Explanation:

Step1: Recall hypothesis - test conclusion

In hypothesis - testing, when the null hypothesis is rejected at a certain significance level, it means that there is sufficient evidence to support the alternative hypothesis.

Step2: Identify the mayor's claim as the alternative hypothesis

The mayor's claim that under 28% of the residents favor construction of a new community is the alternative hypothesis. Since the null hypothesis is rejected at the 0.10 level, there is sufficient evidence to support the alternative hypothesis.

Answer:

There is sufficient evidence at the 0.10 level of significance that the percentage of residents who support the construction is under 28 %.