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Contingency Tables Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. When used to calculate probabilities, a two-way table is often called a:

    • Frequency polygon
    • Stemplot
    • Histogram
    • Contingency table
    Reveal answer

    Answer: Contingency table

    Source evidence

    PDF page 200: A two-way table provides a way of portraying data that can facilitate calculating probabilities. When used to calculate probabilities, a two-way table is often called a contingency table. The table helps in determining conditional probabilities quite easily. The table displays sample values in relation to two different variables that may be dependent or contingent on one another. We used two-way tables in Chapters 1 and 2 to calculate marginal and conditional distributions. These tables organize data in a way that supports the calculation of relative frequency and, therefore, experimental (empirical) probability. Later on, we will use contingency tables again, but in another manner.

  2. A contingency table displays sample values in relation to how many different variables?

    • Four
    • Two
    • Three
    • One
    Reveal answer

    Answer: Two

    Source evidence

    PDF page 200: A two-way table provides a way of portraying data that can facilitate calculating probabilities. When used to calculate probabilities, a two-way table is often called a contingency table. The table helps in determining conditional probabilities quite easily. The table displays sample values in relation to two different variables that may be dependent or contingent on one another. We used two-way tables in Chapters 1 and 2 to calculate marginal and conditional distributions. These tables organize data in a way that supports the calculation of relative frequency and, therefore, experimental (empirical) probability. Later on, we will use contingency tables again, but in another manner.

  3. According to the text, the two variables in a contingency table may be:

    • Dependent or contingent on one another
    • Always identical
    • Always independent
    • Always mutually exclusive
    Reveal answer

    Answer: Dependent or contingent on one another

    Source evidence

    PDF page 200: A two-way table provides a way of portraying data that can facilitate calculating probabilities. When used to calculate probabilities, a two-way table is often called a contingency table. The table helps in determining conditional probabilities quite easily. The table displays sample values in relation to two different variables that may be dependent or contingent on one another. We used two-way tables in Chapters 1 and 2 to calculate marginal and conditional distributions. These tables organize data in a way that supports the calculation of relative frequency and, therefore, experimental (empirical) probability. Later on, we will use contingency tables again, but in another manner.

  4. Contingency tables help most easily in determining which type of probabilities?

    • Theoretical probabilities
    • Conditional probabilities
    • Uniform probabilities
    • Binomial probabilities
    Reveal answer

    Answer: Conditional probabilities

    Source evidence

    PDF page 200: A two-way table provides a way of portraying data that can facilitate calculating probabilities. When used to calculate probabilities, a two-way table is often called a contingency table. The table helps in determining conditional probabilities quite easily. The table displays sample values in relation to two different variables that may be dependent or contingent on one another. We used two-way tables in Chapters 1 and 2 to calculate marginal and conditional distributions. These tables organize data in a way that supports the calculation of relative frequency and, therefore, experimental (empirical) probability. Later on, we will use contingency tables again, but in another manner.

  5. In the cell phone/speeding study, the total number of people in the sample is:

    • 755
    • 685
    • 450
    • 305
    Reveal answer

    Answer: 755

    Source evidence

    PDF page 201: The total number of people in the sample is 755. The row totals are 305 and 450. The column totals are 70 and 685.

  6. In the cell phone/speeding table, the row totals are:

    • 25 and 280
    • 70 and 685
    • 305 and 450
    • 45 and 405
    Reveal answer

    Answer: 305 and 450

    Source evidence

    PDF page 201: The total number of people in the sample is 755. The row totals are 305 and 450. The column totals are 70 and 685.

  7. How many people used a cell phone while driving and had a speeding violation?

    • 405
    • 45
    • 25
    • 280
    Reveal answer

    Answer: 25

    Source evidence

    PDF page 201: Uses a cell phone while driving 25 280 305

  8. How many people did not use a cell phone and had no speeding violation?

    • 280
    • 450
    • 405
    • 45
    Reveal answer

    Answer: 405

    Source evidence

    PDF page 201: Does not use a cell phone while 45 405 450 driving

  9. In the athletes table, how many people stretch and had an injury in the past year?

    • 231
    • 55
    • 295
    • 219
    Reveal answer

    Answer: 55

    Source evidence

    PDF page 202: Stretches 55 295 350

  10. In the athletes table, the total number who do not stretch is:

    • 219
    • 231
    • 350
    • 450
    Reveal answer

    Answer: 450

    Source evidence

    PDF page 202: Does not stretch 231 219 450

  11. In the hikers example, how many females were in the sample?

    • 100
    • 18
    • 45
    • 16
    Reveal answer

    Answer: 45

    Source evidence

    PDF page 202: a. There are 45 females in the sample; 18 prefer the coastline and 16 prefer hiking near lakes and streams. So, we know

  12. In the hikers example, how many females prefer hiking on mountain peaks?

    • 45
    • 16
    • 18
    • 11
    Reveal answer

    Answer: 11

    Source evidence

    PDF page 202: a. There are 45 females in the sample; 18 prefer the coastline and 16 prefer hiking near lakes and streams. So, we know

    PDF page 202: there are 45 − 18 − 16 = 11 female students who prefer hiking on mountain peaks. Continue reasoning in this way to complete the table.

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