Home
/
Math
/
1.24 Family size:Suppose we want to estimate household size, where a "household" is defined as people living together in the same dwelling, and sharing living accommodations. If we select students at random at an elementary school and ask them what their family size is, will this be a good measure of household size? Or will our average be biased? If so will it overestimate or underestimate the true value? a) Evaluate the sampling method. Which of the following statements are true about this sampling method? (Select all statements that are true.)

Question

1.24 Family size:Suppose we want to estimate household size, where a "household" is defined as people living together in the same dwelling, and sharing living accommodations. If we select students at random at an elementary school and ask them what their family size is, will this be a good measure of household size? Or will our average be biased? If so will it overestimate or underestimate the true value? a) Evaluate the sampling method. Which of the following statements are true about this sampling method? (Select all statements that are true.)

1.24 Family size:Suppose we want to estimate household size, where a "household" is defined as people
living together in the same dwelling, and sharing living accommodations. If we select students at random at
an elementary school and ask them what their family size is, will this be a good measure of household size?
Or will our average be biased? If so will it overestimate or underestimate the true value?
a) Evaluate the sampling method. Which of the following statements are true about this sampling method?
(Select all statements that are true.)

Solution

expert verifiedExpert Verified
4.2(331 Voting)
avatar
EmiliaVeteran · Tutor for 10 years

Answer

### This sampling method is biased and will likely overestimate the true average household size.

Explain

## Step 1: Analyzing the Sampling Method<br />### The sampling method involves asking elementary school students about their family size. This method is likely to be biased because elementary school students primarily come from households with children. Households without children, or with older children not in elementary school, are under-represented in this sample.<br /><br />## Step 2: Determining the Direction of Bias<br />### Since households with children are over-represented, and these households tend to be larger than households without children, the estimated average family size will likely be larger than the true average household size. Therefore, this sampling method will overestimate the true average household size.
Click to rate: