The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that $80\mathrm{\%}$ of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than $76\mathrm{\%}$. Testing at the 0.01 level, is there enough evidence to support the strategist's claim?
Step 7 of 7 : State the conclusion of the hypothesis test.
Answer 2 Points
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There is sufficient evidence to support the claim that the percentage of residents who favor annexation is more than $76\mathrm{\%}$.
There is not sufficient evidence to support the claim that the percentage of residents who favor annexation is more than $76\mathrm{\%}$.

Step 1 ：We are testing $H_0:p=0.76$ versus $H_{\text{a}}:p>0.76$, where $p$ is the true proportion of residents that favor annexation.

Step 2 ：First, we need to calculate the test statistic and the corresponding P-value. These values are not given in the problem.

Step 3 ：Assuming that these values have been calculated and the conditions for inference were met, we can proceed to the conclusion step.

Step 4 ：The P-value in this problem would be compared to the significance level $\alpha =0.01$.

Step 5 ：If the P-value is less than $\alpha$, we would reject $H_0$ and accept $H_{\text{a}}$, concluding that there is sufficient evidence to support the claim that the percentage of residents who favor annexation is more than $76\mathrm{\%}$.

Step 6 ：If the P-value is greater than or equal to $\alpha$, we would fail to reject $H_0$, concluding that there is not sufficient evidence to support the claim that the percentage of residents who favor annexation is more than $76\mathrm{\%}$.

Step 7 ：Without the exact P-value, we cannot definitively answer this question. However, the process would follow these steps.