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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
:

Fig. 5.5 Worksheet data for

item #10 for obtaining a

signiﬁcant difference between

males and females

Null Hypothesis: l
1
= l
2

Research Hypothesis: l
1
= l
2

degrees of freedom:

131

critical t:

1.96 (in Appendix E)

t-test formula:

5.40 (when you use your calculator!)

Result:

Since the absolute value of 5.40 is greater than the critical

t of 1.96, we reject the null hypothesis and accept the

research hypothesis

Now, you need to compare the ratings of the men and women to ﬁnd out which

group had the more positive rating of their academic experience using the

following rule:

Rule: To summarize the conclusion of the two-group t-test, just compare the

means of the two groups, and be sure to use the word ‘‘signiﬁcantly’’ in

your conclusion if you rejected the null hypothesis and accepted the

research hypothesis.

A good way to prepare to write the conclusion of the two-group t-test when

you are using a rating scale is to place the mean scores of the two groups on a

drawing of the scale so that you can visualize the difference of the mean scores.

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