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Statitics, Null Hypothesis, ztest, significance
009647504541577
Hypothesis Testing For a Population Mean
The Idea of Hypothesis Testing
Suppose we want to show that only children have an average higher cholesterol
level than the national average. It is known that the mean cholesterol level for all
Americans is
190
. Construct the relevant hypothesis test:
H
0
: m = 190
H
1
: m > 190
We test
100
only children and find that
x = 198
and suppose we know the population standard deviation
s = 15.
Do we have evidence to suggest that only children have an average higher
cholesterol level than the national average? We have
z
is called the
test statistic
.
Since
z
is so high, the probability that
Ho
is true is so small that we decide to reject
H
0
and accept
H
1
. Therefore, we can conclude that only children have a higher
cholesterol level on the average then the national average.
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 Spring '09
 al
 Statistics, Null hypothesis, Statistical hypothesis testing, Statistical significance, 1.645

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