Null Hypotheses

10.31

Using the given sample information, test the following hypotheses.

Sample 1

Sample 2

n1 = 368

n2 = 405

x1 = 175

x2 = 182

  1. H0: p1 – p2 = 0
    Ha: p1 – p2 ≠ 0



Sample 1

Sample 2

n1 = 649

n2 = 558


Let α = .05



  1. H0: p1 – p2 = 0
    Ha: p1 – p2 > 0
    Let α = .10

(a)

Use the following formula:

 

 

 

 

 

α = .05. α/2 = .025 as this is a two-tailed test.

 

 

If the observed value of Z is greater than +1.96 or less than -1.96, the decision will be to reject the null hypothesis.

 

 

 

 

 

 

 

Z is in the non-rejection region, therefore we fail to reject.