10.4 Proportions

# With ha p1 p2 0 respect ha p p0 the to 0 implying

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Unformatted text preview: 1 n n2 1 Hypothesis Tests upper tail test H0: p ≤ p0 Ha: p > p0 reject H0 if zSTAT > zα H0: p1 – p2 ≤ 0 Ha: p1 – p2 > 0 reject H0 if zSTAT > zα lower tail test H0: p ≥ p0 Ha: p < p0 reject H0 if zSTAT < –zα H0: p1 – p2 ≥ 0 Ha: p1 – p2 < 0 reject H0 if zSTAT ≤ –zα H0: p = p0 Ha: p ≠ p0 two-tailed test reject H0 if zSTAT > zα/2 or if zSTAT < –zα/2 H0: p1 – p2 = 0 Ha: p1 – p2 ≠ 0 reject H0 if zSTAT ≤ – zα/2 or if zSTAT > zα/2 Hypothesis Tests about the Difference between Two Population Proportions Population Proportion test statistic upper tail test Hypothesis Tests lower tail test two-tailed test z STAT = p − p0 p0 ( 1− p0 ) n Difference Between 2 Population Proportions p −p 1 2 zSTAT = 1 1 p( − p) + 1 n n2 1 H0: p ≤ p0 H0: p1 – p2 ≤ 0 These hypotheses are all with Ha: p1 – p2 > 0 respect Ha: p > p0 the to 0, implying reject H0 are equal. z these reject H0 if zSTAT > zα proportionsif zSTAT >In α cases, rather than using the H0: p ≥ p0 H0: p1 – p2 ≥ 0 two sa...
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## This document was uploaded on 03/05/2014.

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