In: Statistics and Probability
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.
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.