10.4 Proportions

# Can we conclude using a 05 level of significance that

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Unformatted text preview: onducted immediately after the new campaign showed 120 out of 250 households “aware” of the client’s product. Before the new campaign began, a telephone survey of 150 households in the test market area showed 60 households “aware” of the client’s product. Can we conclude using a .05 level of significance that the proportion of households aware test statistic upper tail test Difference Between 2 Population Proportions p −p 1 2 zSTAT = 1 1 p( − p) + 1 n n2 1 H0: p1 – p2 ≤ 0 Ha: p1 – p2 &gt; 0 reject H0 if zSTAT &gt; zα H0: p1 – p2 ≥ 0 lower tail Ha: p1 – p2 &lt; 0 test reject H0 if zSTAT ≤ –zα twotailed test H0: p1 – p2 = 0 Ha: p1 – p2 ≠ 0 reject H0 if zSTAT ≤ – zα/2 or if zSTAT &gt; zα/2 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 is conducting research to evaluate the effectiveness of a Hypotheses: client’s new advertising H0: pBefore – pAfter campaign. A survey conducted im...
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