A researcher is interested in examining whether there is an association between gender and DSM-5 diagnoses among a sample of male and female patients in a state psychiatric facility. After completing extensive psychological testing and a comprehensive structured clinical interview, the researcher is able to classify the patients into the following broad diagnostic categories. From the data reported in the table below, can the researcher conclude that gender and diagnosis are associated? Test at .05.
a. Which type of Chi-Square test is appropriate for the above example? Why?
b. State your null and alternative hypotheses for this study.
c. Report the calculated χ² value. Show all work (this includes the formula and a photo).
d. Report the critical χ² value (from table).
e. Make a decision regarding the null hypothesis (i.e., accept or reject H₀).
f. Why did you make this decision? Be specific!
g. Report Cramer's V (or Cramer's phi) and interpret this value.
h. What can the researcher conclude?