Consider random samples of size40

drawn from populationA

with proportion0.30

and random samples of size36

drawn from populationB

with proportion0.27

.

(a) Find the standard error of the distribution of differences in sample proportions,p

^

A

-

p

^

B

.

Round your answer for the standard error to three decimal places.

standard error=

the absolute tolerance is +/-0.001

(b) Are the sample sizes large enough for the Central Limit Theorem to apply?

yes

no