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18.104.22.168 Writing the Conclusion of the Two-group t-test When
You Accept the Null Hypothesis
Objective : To write the conclusion of the two-group t- test when
you have accepted the null hypothesis.
Suppose that a large state university wanted to study the satisfaction of graduates
who had been Biology majors with their program for alumni who had graduated
between ﬁve and ten years ago. A survey has been developed, and tried out with a
pilot study with just a few graduates to see how it was working. Item #10 of this
survey is given in Fig. 5.3 with some hypothetical data.
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
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. 5.3 State University Satisfaction Survey Item #10
Fig. 5.4 Worksheet Data for Males vs. Females for Item #10 for Accepting the Null Hypothesis
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