Hypothesis Testing 1
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Description of how to conduct a one proportion z-test.
Transcript of Hypothesis Testing 1
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0H
HA
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Conditions
1. Randomization
2. Independence: Plausible Independence? 10% Condition -
3. np, nq ≥ 10
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N( p, )
p +1σ +2σ +3σ-1σ-2σ-3σ
z = P( p ) = P( z ) =
< > ≠
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Interpretation
If the , then the
probability of observing a sample
that is is .
null hypothesis is true
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proportion/mean
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less than, greater than,at least as extreme as
p-hat p-value
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High p-valueHigh likelihood of happening through natural sampling variation
Low p-value Low likelihood of happening through natural sampling variation
Fail to Reject the Null Hypothesis
Reject the Null Hypothesis
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