Suppose that the proportion of young adults who read at least one book per month is 0.15,and this proportion is the same in Boston and New York.Suppose that samples of size 400 are randomly drawn from each city.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) 0.0459
B) 0.0435
C) 0.0402
D) 0.0335
E) 0.0319

Question

Quizplus · Accepted Answer

The standard deviation for the sampling distribution of the difference between two independent sample proportions is calculated using the formula: sqrt[(p(1-p)/n1) + (p(1-p)/n2)], where p = 0.15 and n1 = n2 = 400. This results in approximately 0.0319.

Suppose That the Proportion of Young Adults Who Read at Least