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Hypothesis Testing for a Population Proportion
Example
Of 880 randomly selected drivers, 56% admitted that they run red lights. Test the claim
that the
majority
(more than half) of all Americans run red lights.
Use the traditional method, Pvalue method, and Confidence Interval Method to test this
claim: More than half (of all Americans) admit to running red lights. That is,
0.5
p
>
.
Assume that the significance level is
0.05
α
=
.
Solution
We first state our hypotheses:
0
1
:
0.5
:
0.5
H
p
H
p
=
>
Our alternative hypothesis states the claim that a majority of Americans admit to running
red lights.
It is important to state that we are testing a claim about a
population proportion
. We will
be using a
rightsided hypothesis test
since we have a ‘greater than’ statement in our
inequality.
Traditional Method
We can use our calculator to calculate the test statistic. Because our significance level is
0.05, our critical value will be
/2
z
=
1.64. If our test statistic is greater than 1.64, we will
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This note was uploaded on 04/08/2008 for the course MAT 143 taught by Professor Stone during the Spring '07 term at North Shore Community College.
 Spring '07
 Stone
 Statistics

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