A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans.

Which of the following represents the 95% confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California?

(a) (0.44 − 0.47) ± 1.96

(0.44)(0.56) + (0.47)(0.53)

!200 + 300

(b) (0.44 − 0.47) ± 1.96

(0.44)(0.56)

!200

+

(0.47)(0.53)

!300

(c) (0.44−0.47)±1.96 Å

(0.44)(0.56)

200

+

(0.47)(0.53)

300

(d) (0.44 − 0.47)±1.96 Å

(0.44)(0.56) + (0.47)(0.53)

200 + 300

(e) (0.44−0.47)±1.96 Å

(0.45)(0.55)

200

+

(0.45)(0.55)

300