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Essay Details:
Essay text:
There is no significant difference in the weights of both cities.
Manual
Pooled P-hat = (192 + 97) / (1342 + 720)
= 289 / 2062
= 0.140155
Z-stat = (0.143070 ? 0.134722) ? 0 / sqrt[(0.140155) x (1-0.140155) x (1/1342) x(1/720)]
= 0.008348 / 0.016037
= 0.520546
b)
Confidence Interval = (p1 ? p2) +/- Za/2 * [sqrt ((p1(1-p1)/n1) + p2(1-p2)/n2)]
= (0.143070 ? 0.134722) +/- 1.645 * [sqrt(0.14307(1-0.14307)/1342) + 0.134722(1-0.134722)/720)
= 0.008348 +/- 0.026179
Therefore this equals the interval of
(-0.0178288, 0.0345244)
The confidence interval calculated above is consistent with the conclusion in question A...
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