Question

How would I put this data into SPSS. I tried it and my crosstab output was off.

ol uie uala collected in the study. Address the following research question: Is there a significant relationship between the type of counseling and the outcome? Use SPSS to test the null hypotheses. Table A Outcome Completion Termination 12 45 57 34 76 N 110 Type of Coun Family seling 31 Individual 53

Answer 1

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H₀: Type of counselling and the outcome are independent.
H_a: Type of counselling and the outcome are not independent.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a chi-square test for independence.

Analyze sample data. Applying the chi-square test for independence to sample data, we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic. Based on the chi-square statistic and the degrees of freedom, we determine the P-value.

1) The sampling method is simple random sampling.

2) The variables under study are each categorical.

3) If sample data are displayed in a contingency table, the expected frequency count for each cell of the table is at least 5.

DF = (r - 1) * (c - 1) = (2 - 1) * (2 - 1)
D.F = 1
E_r,c = (n_r * n_c) / n

Premature Completion Expected ( EE,Termination ExpectedE,Total Family 22 16.3818 1.926768237 12| 17.6181821.791556431 Individual Total 31 36.61820.861975264 53 45 39.3818180.801485772 57 76 53 2.788743501 110 2.593042203


Er,c

Χ² = 5.38

where DF is the degrees of freedom.

The P-value is the probability that a chi-square statistic having 1 degrees of freedom is more extreme than 5.38.

We use the Chi-Square Distribution Calculator to find P(Χ² > 5.38) = 0.02

Interpret results. Since the P-value (0.02) is less than the significance level (0.05), we have to reject the null hypothesis. Thus, we conclude that there is a relationship between type of counselling and the outcome.