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 50% 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 less than 55% . Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Required:
a. State the null and alternative hypotheses.
b. Find the value of the test statistic. Round your answer to two decimal places.
c. Specify if the test is one-tailed or two-tailed.
d. Determine the P P -value of the test statistic. Round your answer to four decimal places.
e. Identify the value of the level of significance.
f. Make the decision to reject or fail to reject the null hypothesis.
g. State the conclusion of the hypothesis test.