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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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