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3.2.3.4
3.2.3.4 STEP 4: Draw a picture of the confidence interval about the mean,
including the mean, the lower limit of the interval, the upper limit of the
interval, and the reference value given in the null hypothesis, H 0 (We will
explain Step 4 later in the chapter.)
3.2.3.5 STEP 5: Decide on a decision rule
(a) If the reference value is inside the confidence interval, accept the null
hypothesis, H 0
(b) If the reference value is outside the confidence interval, reject the null
hypothesis, H 0 , and accept the research hypothesis, H 1
3.2.3.6 STEP 6: State the result of your statistical test
There are two possible results when you use the confidence interval about the mean,
and only one of them can be accepted as “true.” So your result would be one of the
following:
Either : Since the reference value is inside the confidence interval, we accept the
null hypothesis, H 0
Or: Since the reference value is outside the confidence interval, we reject the
null hypothesis, H 0 , and accept the research hypothesis, H 1
3.2.3.7 STEP 7: State the conclusion of your statistical test in plain English!
In practice, this is more difficult than it sounds because you are trying to summarize
the result of your statistical test in simple English that is both concise and accurate
so that someone who has never had a statistics course (such as your boss, perhaps)
can understand the conclusion of your test. This is a difficult task, and we will give
you lots of practice doing this last and most important step throughout this topic.
Objective : To write the conclusion of the confidence interval
about the mean test
Let’s set some basic rules for stating the conclusion of a hypothesis test.
Rule #1: Whenever you reject H 0 and accept H 1 , you must use the word “signifi-
cantly” in the conclusion to alert the reader that this test found an
important result.
Rule #2: Create an outline in words of the “key terms” you want to include in
your conclusion so that you do not forget to include some of them.
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