10.4 Proportions

# P0 ha p p0 reject h0 if zstat z h0 p1 p2 0 ha p1

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Unformatted text preview: between Two Population Proportions Population Proportion test statistic upper tail test Hypothesis Tests lower tail test z STAT = p − p0 p0 ( 1− p0 ) n H0: p ≤ p0 Ha: p &gt; p0 reject H0 if zSTAT &gt; zα H0: p ≥ p0 Ha: p &lt; p0 reject H0 if zSTAT &lt; –zα H0: p = p0 Ha: p ≠ p0 two-tailed test reject H0 if zSTAT &gt; zα/2 or if zSTAT &lt; –zα/2 Recall from chapter 9 Hypothesis Tests about the Difference between Two Population Proportions Population Proportion test statistic 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 Hypothesis Tests upper tail test H0: p ≤ p0 Ha: p &gt; p0 reject H0 if zSTAT &gt; zα H0: p1 – p2 ≤ 0 Ha: p1 – p2 &gt; 0 reject H0 if zSTAT &gt; zα lower tail test H0: p ≥ p0 Ha: p &lt; p0 reject H0 if zSTAT &lt; –zα H0: p1 – p2 ≥ 0 Ha: p1 – p2 &lt; 0 reject H0 if zSTAT ≤ –zα H0: p = p0 Ha: p ≠ p0 two-tailed test reject H0 if zSTAT &gt; zα/2 or if zSTAT &lt; –zα/2 H0: p1 – p2 = 0 Ha: p1 – p2 ≠ 0 reject H0 if zSTAT ≤ – zα/2 or if zSTAT &gt; zα/2 Hypothesis Tests about the Difference between Two Population Proportions SAFETY CHECK: When defining the difference in means D, be careful of the order of the difference to make sure that it corresponds correctly with your hypotheses. opulation Proportion P test statistic z STAT = p − p0 p0 ( 1− p0 ) n Difference Between 2 Population Proportions p −p 1 2 zSTAT = 1 1 p( − p) +...
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