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) Evaluaté the sampling method. Which of the following statements are true about this sampling method? (Select all statements that are true.) Households with pets are not represented It is representative D Households with no elementary -aged children are not represented

## Step 1: Identifying Potential Bias<br />### We are surveying students at an elementary school about their family size. This means families without elementary school-aged children will not be included in the sample. Also, a single household might have multiple children attending the same elementary school, leading to overrepresentation of larger families.<br /><br />## Step 2: Determining Representativeness<br />### The sample is not representative of all households because it excludes households without elementary school-aged children. This exclusion introduces bias.<br /><br />## Step 3: Assessing Overestimation or Underestimation<br />### Since families with elementary school-aged children are more likely to be larger than families without elementary school-aged children (due to the presence of at least one child), the average family size calculated from this sample will likely overestimate the true average household size.<br /><br />## Step 4: Evaluating Statements<br />### Based on the analysis, the following statements are true: "It is not representative" and "Households with no elementary-aged children are not represented." The statement "Households with pets are not represented" is not necessarily true based on the given information. Pet ownership is not directly related to having elementary school-aged children.