Question

In: Statistics and Probability

The mayor of a town has proposed a plan for the annexation of a new community....

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 60% 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 55%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Solutions

Expert Solution

Null hypothesis  
H0: P = 0.55          
              
Alternative hypothesis

H1: P > 0.55              
              
We have for given example,              
Population proportion value is =0.55          
x=480          
              
n=800          
      
Estimate for sample proportion = 0.6          
              
Z test statistic formula for proportion



P value is 0.0022................by using Excel command 1-NORMSDIST(2.843) or by using Z table.      

   
              
              


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