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Best point estimate of p is phat = |
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Test statistic, population proportion z0 = |
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(phat-p0)/[p0(1-p0)/n]^0.5 where p0 = value of the population proportion stated in null |
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3 assumptions for testing hypotheses for a population proportion p |
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1. The sample is obtained by simple random sampling 2. np0(1-p0)>=10 3. The sampled values are independent |
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Two-tailed test, population proportion H0: H1: |
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Left-tailed test, population proportion H0: H1: |
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Right-tailed test, population proportion H0: H1: |
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Two-tailed test, classical approach If z0 > z(alpha/2), then |
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Left-tailed test, classical approach If z0 < -zalpha, then |
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Right-tailed test, classical approach If z0 > zalpha, then |
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For the sampling distribution of phat to be approximately normal, we require np(1-p) to be |
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