Sampling Bias AmDM

If you have 1,000 schools on the list, number them from 000 to 999 and read the table three digits at a time. What are the first five schools in this sample?

• 24, 19, 83, 72, 41

• 241, 983, 724, 152, 579

• 2419, 8372, 4152, 5761, 0849

A store manager wants to estimate the proportion of all the customers of the store who would use store credit card for their purchases. The manager selects a random sample of 1,000 customers from their customer loyalty program list and sends them a survey asking if they would be interested in applying for a store credit card. Of the 78 customers who responded to the survey, 70 of them expressed interest in applying for a store credit card. Should the manager be concerned about these results? If so, why? Select all that apply.

• The manager should not be concerned about these results.

• Yes, because he should have asked more customers.

• Yes. Due to the low response rate, those who responded might be the people who are most interested in a store credit card and overestimate the population proportion of all customers who would be interested in a store credit card.

• Yes. Since he only asked customers from the store loyalty program, those customers may be more interested in a store credit card than all customers.

I want to estimate the proportion of people in Chula Vista who own cats. I stand outside a local pet store and ask every 4th person whether they own a cat or not. What is the most prominent kind of bias evident?

• Undercoverage

• Response

• Non-Response

• Voluntary Response

A store manager wants to estimate the proportion of all the customers of the store who would use store credit card for their purchases. The manager selects a random sample of 1,000 customers from their customer loyalty program list and sends them a survey asking if they would be interested in applying for a store credit card. Seventy-eight customers respond to the survey. What kinds of biases are evident in this scenario? Select all that apply.

• Non-Response Bias

• Response Bias

• Undercoverage Bias

• Volundary Response Bias

In order to estimate the proportion of students that text while driving, a school administrator selects a simple random sample of students from a list of all students at the school who have parking permits. The students are called to the office, one at a time. The administrator asks each student, “Do you text while driving, even though you are not supposed to?” Based on the survey, the administrator estimates that only 2% of students with parking passes text while driving. What potential bias is present in the design of this survey and what is the likely direction of the bias?

• The sample proportion is likely an underestimate of the population proportion due to response bias.

• The sample proportion is likely an underestimate of the population proportion due to undercoverage.

• The sample proportion is likely an underestimate of the population proportion due to nonresponse.

• The sample proportion is likely an overestimate of the population proportion due to response bias.

• The sample proportion is likely an overestimate of the population proportion due to undercoverage.

Tanya wants to know the percent of people likely to attend the upcoming musical at school. She asks each person in the musical how many people they know who are coming to make a prediction. Why is this sample biased?

• Drama students are more likely to lie.

• Musicals are better attended than plays.

• The drama teacher was not asked.

• The sample is not random and not representative of the entire school population.

Answer explanation

The sample is not random and not representative of the entire school population, as it only includes people involved in the musical, leading to bias.

A tax preparation company wants to see how satisfied its customers are with their services. Which of the following would give them the best unbiased sample?

• looking at customer reviews on their social media page

• questioning the first 25 people that call the company

• asking the last 25 people on an alphabetical list of all of their current customers

• surveying a random sample of customers from a list of all of their current and previous customers

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E