10.4 Proportions

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Unformatted text preview: began, a telephone survey of lower tail Ha: p1 – p2 &lt; 0 150Statistical Decision: households in the test test reject H0 if zSTAT ≤ –zα zSTAT = 1.557 market area showed 60 households P(z &lt; zSTAT) = 0.0597 “aware” of the H0: p1 – p2 = 0 0.0597 &gt; α = .05 twoclient’s product. Ha: p1 – p2 ≠ 0 CTherefore, p-value.05 not lesstailed an we conclude using a is reject H0 if zSTAT ≤ – levelhan α and H0 is not rejected. test zα/2 or if zSTAT &gt; zα/2 t of significance that the proportion of households aware Example Do the data indicate a difference in the proportion of households aware of the product after the advertising campaign? Hypothesis Tests Market Research Associates Difference Between 2 Population Proportions is conducting research to evaluate the effectiveness of a p −p 1 2 zSTAT = Hypotheses: client’s new advertising test 1 1 H0: pBefore – pAfter ≥ 0 statistic campaign. A survey conducted p( − p) + 1 Therefore, we n n2 1 immediately pBefore – pAfter &lt; 0 Ha: after the new cannot...
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