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The female to male ratio of a particular population of interest is 200 females per every 1,000...

Question:

The female to male ratio of a particular population of interest is 200 females per every 1,000 males. If you were to conduct research using a sample of 300 individuals from this population, how many females should be chosen in the sample in order to make it representative?

(a) 75

(b) 50

(c) 100

(d) None of the above

Ratio:


In mathematics and statistics, the concept of ratio indicates that how frequently one number contains another. For example, if there are six batsman and five bowlers in a cricket team, then the ratio of batsman to bowler is six to five. Similarly, the ratio of bowler to batsman is five to six.

Answer and Explanation:


Given Information:

The female to male ratio of a particular population of interest is 200 females per every 1,000 males.

This means that for every 1 male, there are 1/5 females.

If the research is conducted using a sample of 300 individuals from this population, 50 females must be chosen in the sample in order to make it representative as then there are 250 males which satisfy the ratio given between male and female.

Therefore, option b) is correct.


Learn more about this topic:

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What is Ratio in Math? - Definition & Overview

from CAHSEE Math Exam: Help and Review

Chapter 10 / Lesson 14
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