number 13 y\'aws% (onfideno interval for data A and B Data-ts A and B an\"wdim a

Question

number 13

y'aws% (onfideno interval for data A and B Data-ts A and B an"wdim and dependent, and the population, are normally distributed Round in th 11) A130 28 47 s) Fand the weighind estimate P to test the cdlain that ps-p2 Use a-00 eter samples are random and independent Sample statistics n1-s0, x1-35, and n2 - 60, x2 40 1s) Tes the claim that pi- p2. Use a -0.05, Assume the samples are independent Sample statistics n1-50. x1-35, and n2 - 40 14) Construct a 95% confidence interval for P1-P2. Assume the samples are random and 14) independent Sample statistics nl " 50, x 1 = 35, and n2-60. x2 = 40

Explanation / Answer

13) Pooled sample proportion, p = (p1 * n1 + p2 * n2) / (n1 + n2) = (0.7*50 + 0.66667*60)/(50+60) = 0.681818

Stadard error, SE = sqrt{ p * ( 1 - p ) * [ (1/n1) + (1/n2) ] } = 0.089188

Test statistic, z = (p1 - p2) / SE = ((35/50)-(40/60))/0.089188 = 0.3737

p-value = 0.7086

Fail to reject null hypothesis.

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