Suppose you are trying to estimate the percent of women in a city. Other things being equal, a simple random sample of 0.1% of the population of a city that has 2,000,000 people is ________ as a simple random sample of 0.1% of the population of a city that has 500,000 people. Fill in the blank with the best of the following choices.
a) about 1/4 times as accurate
b) about 1/2 times as accurate
c) about as accurate
d) about 2 times as accurate
e) about 4 times as accurate

Question

Suppose you are trying to estimate the percent of women in a city. Other things being equal, a simple random sample of 0.1% of the population of a city that has 2,000,000 people is ________ as a simple random sample of 0.1% of the population of a city that has 500,000 people. Fill in the blank with the best of the following choices.
a) about 1/4 times as accurate
b) about 1/2 times as accurate
c) about as accurate 
d) about 2 times as accurate
e) about 4 times as accurate

anonymous · Answer

4 times more accurate. 0.1% of 2 million is 4 times more than 0.1% of 500,000

anonymous · Answer

4 times more accurate is wrong

anonymous · Answer

"about 2 times as accurate" is the right answer