Question

Suppose that in a random selection of 100 colored​ candies, 25​% of them are blue. The candy company claims that the percentage of blue candies is equal to 27​%. Use a 0.05 significance level to test that claim. Identify the test statistic for this hypothesis test. Identify the​ P-value for this hypothesis test. Identify the conclusion for this hypothesis test.

Answer 1

Null hypothesis     

       
              
Alternative hypothesis  

          
              
We have for given example,              
Population proportion value is =0.27          
      
              
n=100          
Level of significance =   0.05          
Estimate for sample proportion =0.25          
              
Z test statistic formula for proportion              


=-0.45      

P value = 0.6527..................by using Z table or by using Excel command =2*NORMSDIST(-0.45)