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Statistics Bias and Sampling Method

Authored by Anthony Clark

Mathematics

12th Grade

Statistics Bias and Sampling Method
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

I want to estimate the proportion of people in North Palm Beach who own cats. I stand outside a NPB 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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

16 out of the 20 people who called into a radio station said that they enjoy the station's morning programming. What type of bias is demonstrated here?

Voluntary Response Bias

Nonresponse Bias

Undercoverage Bias

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.
She selects the five closest to her desk.

simple random

Voluntary Response

Convenience

Systematic Random

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Source of bias in which people CHOOSE to respond and usually only people with very strong opinions respond

Response Bias

Undercoverage

Convenience Sampling

Voluntary Response

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

I want to estimate the proportion of all adults in Chula Vista who graduated from high school. I select a random sample of addresses and go to those houses. When an adult answers the door, I ask if they had graduated from high school. If a child answers the door, I ask for an adult. If there is none there at the time, I return at another time to complete the survey. What is the most prominent bias?

Non-response bias

Response bias

Voluntary response bias

Undercoverage

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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.

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