Question

the mayor of a town believes that 67% of the residents favor annexation of a new community. a community group believes this is inaccurate and decides to perform a hypothesis test to dispute the mayors claim. after information is gathered from 380 voters and a hypothesis test is completed, the group 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 to say that the percentage of residents who support the annexation is not 67%. there is not sufficient evidence at the 0.10 level of significance to say that the percentage of residents who support the annexation is not 67%.

Explanation:

In hypothesis - testing, when the null hypothesis is rejected at a certain significance level, it means that there is sufficient evidence against the claim made under the null hypothesis. Here, the null hypothesis is likely the mayor's claim that 67% of residents favor annexation. Since the null hypothesis is rejected at the 0.10 level, there is enough evidence to dispute the mayor's claim.

Answer:

There is sufficient evidence at the 0.10 level of significance to say that the percentage of residents who support the annexation is not 67 %.