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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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