In: Statistics and Probability
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 66% 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 over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Step 1 of 6: State the null and alternative hypotheses.
Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. 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 66% 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 over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Step 3 of 6: Specify if the test is one-tailed or two-tailed. 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 66% 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 over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0. 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 66% 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 over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis. 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 66% 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 over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Step 6 of 6: State the conclusion of the hypothesis test.
(6) We have evidence to support the claim that the percentage of residents who favor annexation is over 62%