10.4 Proportions

Z these reject h0 if zstat z proportionsif zstat in

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Unformatted text preview: mple proportions to H the &lt; p0 Ha: p1 – p2 &lt; 0 calculate a: pstandard error, a reject H0average of &lt; –zα reject H0 if zSTAT ≤ –zα weighted if zSTAT the sample proportions (pooled H0: p = p0 H0: p1 – p2 = 0 estimator) is calculated and Ha: p1 – p2 ≠ 0 used to Ha: p ≠ p0 standard estimate the rejectfor0 if zSTAT the test reject H0 if zSTAT ≤ – error H calculating &gt; zα/2 statistic. STAT &lt; –zα/2 or if z zα/2 or if zSTAT &gt; 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 pooledp − p0 z STAT = estimator of p0 ( 1− p0 ) : 22 n p1 +n p n 1p p= n +n 1 2 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 &gt; 0 respect Ha: p &gt; p0 the to 0, implying reject H0 are equal. z these reject H0 if zSTAT &gt; zα proportionsif zSTAT &gt;In α cases, rather than using th...
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