Question

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1000 voters in the town and found that 44% 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 40%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?

Step 1: State the null and alternative hypotheses.

Step 2: Determine the P-Value

Step 3: Determine the test Statistic

Step 4: (a) Is it enough evidence to support the claim that the percentage of residence who favor annexation is more than 40%?

(b) Is is NOT enough evidence to support the claim that the percentage of residence who favor annexation is more than 40%?

Step 5: Determine if this is right tailed, left tailed or 2 tailed

Step 6: Make the decision to reject or fail to reject the null hypothesis

Step 6 a: Determine the decision rule

Answer 1