557 market area showed 60 householdsz z05 1645 aware

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Unformatted text preview: ta 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 < 0 Ha: after the new H0: p1 – p2 ≤ 0 campaign showed 120 out of upper Hp p2 > 250 households “aware” of the Decision Rule (critical value): tail test rejecta: 0 1 – STAT0 zα H if z > client’s product. Reject H0 if zSTAT < zα Before the new campaign H0: p1 – p2 ≥ 0 began, a telephone survey of lower tail Ha: p1 – p2 < 0 150Statistical Decision: households in the test test reject H0 if zSTAT ≤ –zα market area showed 60 –1.557 zSTAT = households “aware” of the H0: p1 – p2 = 0 twoclient’s product. Ha: p1 – p2 ≠ 0 tailed Can we conclude using a .05 reject H0 if zSTAT ≤ – test zα/2 or if zSTAT > zα/2 level of significance that the proportion...
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