10.4 Proportions

Efore pafter zstat z and tailed 1557 ha p1 p2 0

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Unformatted text preview: gt; zα Reject = 0 if zSTAT z pH Before the new campaign = &gt; n α + n n1 + n 2 After Before H0: p1 – p2 ≥ 0 began, a telephone survey of lower tail Ha: p1 – p2 &lt; 0 150Statistical Decision: .4 = 0.45 households in 250×.48 + 150× the test = test reject H0 if zSTAT ≤ –zα zSTAT250 1150 = + .557 m2. arket area showed 60 calculate zSTAT: households zα = z.05 = 1.645 “aware” of the H0: p1 – p2 = 0 twoclient’s product. Ha: Therefore, zSTAT.05 zα and tailed reject Hp1if–zp2 ≠ 0≤ – &lt; Can we conclude using a 0 STAT test zα/2 or if zSTAT &gt; zα/2 H0 is that rejected. level of significance not 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 n n2 1 immediately pBefore – pAfter &lt; 0 the new Ha: after STAT test...
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