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In Depth Information

Rule #1:

Since the reference value was inside the conﬁdence interval, we cannot

use the word ‘‘signiﬁcantly’’ in the conclusion. This is a basic rule we

are using in this chapter for every problem

Rule #2:

The key terms in the conclusion would be:

• Chevy Impala

• reference value of 28 mpg

Rule #3:

The Chevy Impala did get 28 mpg.

The process of writing the conclusion when you accept H
0
is relatively

straightforward since you put into words what you said when you wrote the null

hypothesis.

However, the process of stating the conclusion when you reject H
0
and accept

H
1
is more difﬁcult, so let’s practice writing that type of conclusion with three

practice case examples:

Objective: To write the result and conclusion when you reject H
0

CASE #1:

Suppose that an ad in The Wall Street Journal claimed that the

Honda Accord Sedan gets 34 miles per gallon. The hypotheses

would be:

H
0
: l = 34 mpg

H
1
: l = 34 mpg

Suppose that your research yields the following conﬁdence interval:

30__________31__________32__________34

lower

Mean

upper

Ref.

limit

limit

Value

Result:

Since the reference value is outside the conﬁdence interval, we reject the

null hypothesis and accept the research hypothesis

The three rules for stating the conclusion would be:

Rule #1:

We must include the word ‘‘signiﬁcantly’’ since the reference value of

34 is outside the conﬁdence interval.

Rule #2:

The key terms would be:

• Honda Accord Sedan

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