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Chapter 7: Problem 42

In a population of 1000 subjects, 640 possess a certain characteristic. In a sample of 40 subjects selected from this population, 24 possess the same characteristic. What are the values of the population and sample proportions?

Short Answer

Expert verified
The population proportion is 0.64 or 64%, and the sample proportion is 0.60 or 60%.

Step by step solution

01

Calculate the population proportion

To find the population proportion, divide the number of subjects in the population that possess the characteristic by the total number of subjects in the population. So, \(\frac{640}{1000}\) will give the population proportion.
02

Calculate the sample proportion

Similarly, to find the sample proportion, divide the number of subjects in the sample that possess the characteristic by the total number of subjects in the sample. Therefore, \(\frac{24}{40}\) will give the sample proportion.
03

Express the proportions as percentages

To express these proportions as percentages, multiply each one by 100. Remember that a proportion of 1 would be equivalent to 100%.

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