Question

Using the information posted in the table, what is the null hypothesis and alternative hypothesis? Identify the test statistic and p-value from your source data. Would you reject or fail to reject your null hypothesis? Explain how you came to this conclusion (i.e. either use the test-statistic or p-value to support your claim). Would there be sufficient evidence (based upon your source data) to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment? Explain.

	Treatment	Sham
Sample Size	23	23
Sample Mean	0.47	0.37
Sample Stdrd Deviation	0.76	1.17

Answer 1

Let ,

  Mean of reduction in pain treated with magnet .

   Mean of reduction in pain treated with sham treatment  .

Clearly it is Z-test for testing two population mean .

Hypothesis :

Given that :

sample size :

   ,

,

Test Statistic :

Critical Value (Table value ) :

Decision Rule :

If   then we reject at 5% level of significance otherwise accept .

Here    &

Therefore ,   

Decision : We cannot reject at 5% level of significance .

Conclusion :

there is no sufficient evidence (based upon your source data) to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment .