A Consumer Protection Agency Is Comparing the Work of Two $n _ { 1 } = n _ { 2 } = 36$

A consumer protection agency is comparing the work of two electrical contractors. The agency plans to inspect residences in which each of these contractors has done the wiring in order to
Estimate the difference in the proportions of residences that are electrically deficient. Suppose the
Proportions of residences with deficient work are expected to be about .7 for both contractors.
How many homes should be sampled in order to estimate the difference in proportions using a
95% confidence interval of width .3?

A) $n _ { 1 } = n _ { 2 } = 36$
B) $n _ { 1 } = n _ { 2 } = 240$
C) $n _ { 1 } = \mathrm { n } _ { 2 } = 144$
D) $n _ { 1 } = n _ { 2 } = 72$