Question

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.

Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.26 with n=1002

Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.

test statistic = Enter your answer; test statistic

p-value = Enter your answer; p-value

Conclusion: Choose the answer from the menu; Conclusion                                                          RejectDo not reject H0.

Answer 1

Ho :   p =    0.2                  
H1 :   p ╪   0.2       (Two tail test)          
                          
Level of Significance,   α =    0.05                  
Sample Size,   n =    1002                  
                          
Sample Proportion ,    p̂ =    0.2600                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0126                  
Z Test Statistic = ( p̂-p)/SE = (   0.2600   -   0.2   ) /   0.0126   =   4.75

                          
  
p-Value   =   0.000   [excel formula =2*NORMSDIST(z)]              
Decision:   p-value<α , reject null hypothesis