Question

Suppose 219 subject are treated with a drug that used to treat pain 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea.

identify the null and alternative hypothesis for the test.

H0: p=0.20

H1: p>0.20

identify the test statistic for hypothesis test

identify the p value for this hypothesis test

Answer 1

We have for given example,              
Population proportion value is =0.2          
x=54          
              
n=219          
      
Estimate for sample proportion =0.2466          
              
Z test statistic formula for proportion              


=1.724  

P value = 0.0424..............................by using Z table or Excel =1-NORMSDIST(1.724)