SOLUTION: The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1000 voters in the town and found that 53% of the residents fa

Algebra ->  Probability-and-statistics -> SOLUTION: The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1000 voters in the town and found that 53% of the residents fa      Log On


   

Question 1179412: The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1000 voters in the town and found that 53% 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 49%. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho:p <=0.49
Ha: p > 0.49
alpha=0.01 p{reject Ho|Ho true}
test stat is a z from a 1 way 1 proportion test
critical value is z> 2.326
z=(p hat-p)/sqrt (p*(1-p)/n)
=0.04/sqrt(0.49*0.51/1000); sqrt term=sqrt(0.0002499)=0.0158
z=2.531
reject Ho, the true proportion is greater than 49%
p-value=0.0057