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# Hypothesis Testing 1

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Description of how to conduct a one proportion z-test.

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### Hypothesis Testing 1

1. 1. 0 H H A
2. 2. Conditions 1. Randomization 2. Independence: Plausible Independence? 10% Condition - 3. np, nq ≥ 10
3. 3. p +1 σ +2 σ +3 σ -1 σ -2 σ -3 σ P( p ) = P( z ) = < > ≠ N( p, ) z =
4. 4. Interpretation If the , then the probability of observing a sample that is is . null hypothesis is true proportion/mean less than, greater than, at least as extreme as p-value 1 2 p-hat 4 3
5. 5. Fail to Reject the Null Hypothesis Reject the Null Hypothesis High p-value High likelihood of happening through natural sampling variation Low p-value Low likelihood of happening through natural sampling variation