10.4 Proportions

# 557 market area showed 60 households pz zstat 00597

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Unformatted text preview: 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 < 0 Ha: after the new H0: p1 – p2 ≤ 0 campaign showed 120 out of Ha: p1 – p2 > 0 250Decision “aware”(of the value): upper households Rule critical tail test reject H0 if zSTAT > zα 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 zSTAT = –1.557 market area showed 60 householdszα = z.05 = –1.645 “aware” of the H0: p1 – p2 = 0 twocli...
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## This document was uploaded on 03/05/2014.

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