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Fig. 5.3

State university satisfaction survey item #10

Suppose further, that you have decided to analyze the data from alumni who

were Biology majors by comparing men and women using the two-group t-test.

Important note: You would need to use this test for each of the survey items

separately.

Suppose that the hypothetical data for Item #10 was based on a sample size of

124 men who had a mean score on this item of 6.58 and a standard deviation on

this item of 2.44. Suppose that you also had data from 86 women who had a mean

score of 6.45 with a standard deviation of 1.86.

We will explain later in this chapter how to produce the results of the two-group

t-test using its formulas, but, for now, let’s ‘‘cut to the chase’’ and tell you that

those formulas would produce the following in Fig.
5.4
:

Fig. 5.4 Worksheet data for

males vs. females for item

#10 for accepting the null

hypothesis

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
).

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