Suppose that .06 of each of two populations possess a given characteristic.Samples of size 400 are randomly drawn from each population.The standard deviation for the sampling distribution of differences between the first sample proportion and the second sample proportion (used to calculate the z score)is _______.
A)0.00300
B)0.01679
C)0.05640
D)0.00014
E)0.12000

Question

Quizplus · Accepted Answer

The standard deviation for the sampling distribution of the difference between two sample proportions is calculated using the formula: sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)], where p1 and p2 are the population proportions (0.06), and n1 and n2 are the sample sizes (400). Plugging in these values gives sqrt[(0.06*0.94/400) + (0.06*0.94/400)] = 0.01679.

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