Question

Funding for fine arts The band director at a high school wants to estimate the percentage

of parents who support a decrease in the budget for fine arts. Because many parents attend

the school’s annual musical, the director surveys the first $30$parents who arrive at the

show. Explain how bias in the sampling method could affect the estimate.

Short answer

We will (in this situation) constantly underestimate the true unemployment rate because the entire population is involved. As a result, the sample should contain fewer unemployed people than the whole population.

Step-by-step solution

Given information

We have to find the bias in the sampling method could affect the estimate.

Explanation

A convenience sample is frequently since persons who never go to the mall have no opportunity of being included in the sample and may have substantially different characteristics than those who do. An unemployed person, for example, will be less inclined to visit a mall because he or she will have no income and will therefore strive to minimise his or her expenditures. As a result, we would expect the sample to have fewer unemployed people than the overall population, implying that we will (in this case) constantly underestimate the true unemployment rate.