Question

The mayor of a town believes that 45% of the residents favor construction of an adjoining bridge. A community group believes this is inaccurate and decides to perform a hypothesis test to dispute the mayor's claim. After information is gathered from 110 voters and a hypothesis test is completed, the group decides to reject the null hypothesis at the 0.01 level. What is the conclusion regarding the mayor's claim?

Answer 1

The community group rejected the null hypothesis at the 0.01 significance level, suggesting that the true proportion of residents favoring the bridge construction is significantly different from the mayor's claim of 45%.

Step-by-step explanation:

The null hypothesis for the situation described is that the true proportion of residents in favor of constructing an adjoining bridge is 45%, as claimed by the mayor. The community group performed a hypothesis test and decided to reject the null hypothesis at the 0.01 significance level. Rejection of the null hypothesis indicates that there is sufficient evidence to conclude that the proportion of residents who favor the bridge construction is significantly different from 45%. Therefore, the community group's conclusion is that the mayor's claim is likely inaccurate based on their sample of 110 voters.