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Unformatted text preview: 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
households P(z < zSTAT) = 0.0597
“aware” of the
H0: p1 – p2 = 0
0.0597 > α = .05
twoclient’s product.
Ha: p1 – p2 ≠ 0
CTherefore, pvalue.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 > 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 < 0
Ha: after the new
cannot...
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 Spring '13

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