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Fig. 5.2
Results of Entering the Data Needed for the Two-group t-test

5.1.3 STEP 3: State the null hypothesis and the research

hypothesis for the two-group t-test

If you have completed Step 1 above, this step is very easy because the null

hypothesis and the research hypothesis will always be stated in the same way for

the two-group t-test. The null hypothesis states that the population means of the two

groups are equal, while the research hypothesis states that the population means of

the two groups are not equal. In notation format, this becomes:

H
0
:

m
1
═
m
2

H
1
:

m
1
6¼
m
2

You can now see that this notation is much simpler than having to write out the

names of the two groups in all of your formulas.

5.1.4 STEP 4: Select the appropriate statistical test

Since this chapter deals with the situation in which you have two groups but only

one measurement on each person, plant, or animal in each group, we will use the

two-group t-test throughout this chapter.

5.1.5 STEP 5: Decide on a decision rule for the two-group t-test

The decision rule is exactly what it was in the previous chapter (see Section 4.1.3)

when we dealt with the one-group t-test.

(a) If the absolute value of t is less than the critical value of t, accept the null

hypothesis.

(b) If the absolute value of t is greater than the critical value of t, reject the null

hypothesis and accept the research hypothesis.

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