z P SolutionFormulating the hypotheses Ho p1 p2 0 Here we
| z | = |
| P | = |
Solution
Formulating the hypotheses
Ho: p1 - p2 <= 0
Ha: p1 - p2 > 0
Here, we see that pdo = 0 , the hypothesized population proportion difference.
Getting p1^ and p2^,
p1^ = x1/n1 = 0.45
p2 = x2/n2 = 0.34
Also, the standard error of the difference is
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] = 0.09280625
Thus,
z = [p1 - p2 - pdo]/sd = 1.185265004 = 1.19 [ANSWER, TEST STATISTIC]
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Also, the p value is, as this is right tailed,
P = 0.117956343 = 0.1180 [ANSWER]
