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.
The missing word in the blank is "larger".
When estimating the percent of women in a city, the larger the sample size, the more reliable the estimate tends to be. In this case, we are comparing two simple random samples, each taken from a different city with different population sizes.
The first city has a population of 2,000,000 people, while the second city has a population of 500,000 people. Both samples are 0.1% of their respective population sizes.
To determine which sample is better, we need to compare the sample sizes.
The sample size for the first city can be calculated as 0.1% of 2,000,000:
0.1/100 * 2,000,000 = 2,000
The sample size for the second city can be calculated as 0.1% of 500,000:
0.1/100 * 500,000 = 500
As we can see, the sample size for the first city is larger (2,000) compared to the sample size for the second city (500). Therefore, a simple random sample of 0.1% of the population of a city that has 2,000,000 people is larger as compared to a simple random sample of 0.1% of the population of a city that has 500,000 people.