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MATH 141
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Lecture 17

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Bloomsburg University

MATH - Mathematics

MATH 141

Zhang

Fall

Description

Statistics
12/1/2016
Example: Two tails test
• Structure of à Two tails test structure
• Significant level: In the example, the given level is 0.05
• Distribution: Normal
The critical value will be
Two tails test
• Rejection region
Since it is used to reject null hypothesis, its structure should be same as the alternative
hypothesis. i.e.
REMARK: We always need a negative sign in the lower side critical value.
In the example, we find the critical value is 1.96, thus the rejection region is
{Z < -1.96} or {Z>1.96}
Now, we can draw the conclusion:
From your sample we find the test statistic Z = -15.625, which satisfy the rejection region, so we
reject the null hypothesis.
One tail test
• Upper
{Test Statistics > Critical value}
• Lower
{Test Statistics < Critical value}
P-value – A simple way then
• Rule:
1. If P-value is less than or equal to the significant level , we need to reject the null
hypothesis (to accept your )
2. If P-value is larg

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