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Chapter 8: Q.8.72 (page 482)

Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as midlevel managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks.

Suppose we want to lower the sampling error. What is one way to accomplish that?

Short Answer

Expert verified

Increasing the sample size will reduce sampling error.

Step by step solution

01

Given information

The total number of adults is1050

Manual laborers360

Non-manual wage earners280

Midlevel managers260

executives 160

02

Solution 

Sampling error

A sampling error is a statistical error that appears when an analyst does not choose a sample that represents the whole population of data. As an effect, the results discovered in the sample do not represent the outcomes that would be acquired from the entire population.

So, here we need to lower the sampling error.

If we increase the sample size we can reduce the sampling error

To get the sampling error to zero the sample size should be equal to the population size

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