11. 2 points PriviteraStats2 15.E.031 My Notes Ask Your Teacher A therapist meas

Question

11. 2 points PriviteraStats2 15.E.031 My Notes Ask Your Teacher A therapist measures the relationship between a patient's expectations that therapy will be successful and the actual success of the therapy. The following table shows the results of this hypothetical study using a sample of 50 clients Therapy Successful Yes No Totals Yes 29 16 23 (a) Compute the phi correlation coefficient. (Round your answer to three decimal places.) Client expects No successTotals 21 27 (b) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. Hint: You must first convert r to Retain the null hypothesis Reject the null hypothesis You may need to use the appropriate table in Appendix B to answer this question Additional Materials Section 151

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var8
Columns: None

Chi-Square test:

Cramer's V test for association:

For 2 x 2 table, value of Cramer's V and phi correlation coefficient is always equal. Hence,

a) Phi correlation coefficient = 0.515

b) Reject the null hypothesis.

Yes No Total Yes 22 7 29 No 5 16 21 Total 27 23 50

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