Microsoft Office Tutorials and References

In Depth Information

degrees of freedom: 208

critical t: 1.96 (in Appendix E)

t-test formula: 0.44 (when you use your calculator!)

Result: Since the absolute value of 0.44 is less than the critical t of 1.96, we accept

the null hypothesis.

Conclusion: There was no difference between male and female alumni who were

Biology majors in their satisfaction with the academic experience they had at

State University.

Now, let’s see what happens when you reject the null hypothesis (H
0
) and accept

the research hypothesis (H
1
).

5.1.9.2 Writing the Conclusion of the Two-group t-test When You Reject the

Null Hypothesis and Accept the Research Hypothesis

Objective
: To write the conclusion of the two-group t-test when

you have rejected the null hypothesis and accepted

the research hypothesis

Let’s continue with this same example, but with the result that we reject the null

hypothesis and accept the research hypothesis.

Let’s assume that this time you have alumni data on 85 males and their mean

score on this question was 7.26 with a standard deviation of 2.35. Let’s further

suppose that you also have data on 48 females and their mean score on this question

was 4.37 with a standard deviation of 3.26.

Without going into the details of the formulas for the two-group t-test, these data

would produce the following result and conclusion based on Fig.
5.5
:

Null Hypothesis:

m
1
¼
m
2

Research Hypothesis:

m
1
6¼
m
2

degrees of freedom: 131

Fig. 5.5
Worksheet Data for Item #10 for Obtaining a Signiﬁcant Difference between Males and

Females

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