AnswersMathematics 8Interpreting Two-Way Tables

Interpreting Two-Way Tables — Quiz Answers

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1
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The table shows the scores that Ms. Cohen’s students earned on the Chapter 6 and Chapter 7 tests. Student Scores Proficient in Chapter 7 Needs Improvement in Chapter 7 Total Proficient in Chapter 6 13 4 17 Needs Improvement in Chapter 6 3 5 8 Total 16 9 25 What is represented by the expression 3 over 16 is equal to 18 point 7 5 percent ?

A
the percentage of students who earned a score of “proficient” on the Chapter 6 test and a score of “needs improvement” on the Chapter 7 test
B
the percentage of students who earned a score of “needs improvement” on the Chapter 6 test and a score of “proficient” on the Chapter 7 test
C
the percentage of students who earned a score of “needs improvement” on the Chapter 6 test to the total number of students
D
the percentage of students who earned a score of “proficient” on the Chapter 6 test to the total number of students
3

The given table describes band members at Mike’s school. Band Member Knowledge of Instruments Can Only Play One Instrument Can Play More than One Instrument Grade 6 15 6 Grade 7 20 8 Grade 8 18 7 Mike used the computation the fraction with numerator 7 and denominator open paren 6 plus 8 plus 7 close paren almost equal to 0 point 3 3 is equal to 33 percent to find the percentage of eighth-grade band members who can play more than one instrument. What error did Mike make?

A
Mike should have used the sum of all the cell values as his denominator.
B
Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.
C
Mike included 7 when finding a sum to use as the denominator of his fraction.
D
Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7 .
5

The given two-way table describes feedback received by a hotel manager from past guests. In the table, j is the number of positive responses sent by e-mail and k is the number of negative comments made by phone. Customer Feedback Received in the Past Month Positive Negative E-Mail j 80 Phone Calls 36 k Comparing which two values tests whether the way feedback was submitted had an impact on whether or not feedback was positive?

A
the fraction with numerator j and denominator j plus 36 and the fraction with numerator 80 and denominator k plus 80
B
the fraction with numerator j and denominator j plus 80 and the fraction with numerator k and denominator k plus 36
C
the fraction with numerator j and denominator j plus 36 and the fraction with numerator k and denominator k plus 80
D
the fraction with numerator j and denominator j plus 80 and the fraction with numerator 36 and denominator k plus 36
6

Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two variables?

A
The relative frequencies are significantly different each row.
B
The relative frequencies are nearly the same in each row.
C
The relative frequencies add to 100 percent for each column.
D
The relative frequencies add to 100 percent for each row.
10

The given two-way table describes the quality of sweatshirts and T-shirts screen printed at a local store. Quality of Screen Printing by Item Type Perfect Flawed T-Shirts 90 6 Sweatshirts 40 10 Which statement best describes the relationship between the two variables?

A
There is an association because the relative frequencies by row are different.
B
There is an association because the relative frequencies by row are the same.
C
There is no association because the relative frequencies by row are different.
D
There is no association because the relative frequencies by row are the same.

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