The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 61% 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 above 57%. Determine the P-value of the test statistic. Round your answer to four decimal places.
The following information is provided: The sample size is N = 900, the number of favorable cases is X = 549 , and the sample proportion is , and the significance level is α=0.05
(1) Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
Ho: p = 0.57
Ha: p > 0.57
This corresponds to a right-tailed test, for which a z-test for one population proportion needs to be used.
(2) Test Statistics
The z-statistic is computed as follows:
Using the P-value approach: The p-value is p = 0.0077
The mayor of a town has proposed a plan for the annexation of a new bridge....
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