AnswersConcepts in Probability and Statistics - MA3120 B-CRRelative Frequencies and Association

Relative Frequencies and Association Answers

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The conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they are involved in after-school activities.

Question illustration
A
0.43
B
0.45
C
0.55
D
0.57
2
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A conditional relative frequency table is generated by column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

A
An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
B
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
C
An association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0.
D
There is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.
3

The frequency table represents the job status of a number of high school students.Which shows the conditional relative frequency table by column?

Question illustration
A
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
Option A
B
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
Option B
C
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
Option C
D
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
Option D
4

The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day.

Question illustration
A
0.3
B
0.35
C
0.65
D
0.7
5

The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true?

Question illustration
A
An association cannot be determined because the value 0.55 is similar to the value 0.45.
B
There is an association because the value 0.15 is not similar to the value 0.55.
C
There is an association because the sum of each column is 1.0.
D
An association cannot be determined because the sum of the rows going across is not 1.0.
6

The conditional relative frequency table was generated by row using frequency table data comparing the hat size and shirt size of children on a baseball team.The coach attempts to determine an association between shirt size and hat size. Which is most likely true?

Question illustration
A
An association cannot be determined because 0.48 is similar to 0.52.
B
An association cannot be determined because the sum of each column is not 1.0.
C
There is likely an association because 0.8 is not similar to 0.2.
D
There is likely an association because 0.8 is not similar to 0.33.
Option D
7

The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased.

Question illustration
A
0.14
B
0.18
C
0.30
D
0.86
8

The conditional relative frequency table below was generated by column from a frequency table comparing the color of a flower to a type of flower.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of G is similar to the value of H.
B
The value of B is similar to the value of E.
C
The value of G is not similar to the value of H.
D
The value of B is not similar to the value of E.
9

Which value for Y in the table would be least likely to indicate an association between the variables?

Question illustration
A
0.06
B
0.24
C
0.69
D
1.0
10

Look at the table on texts assigned to students.

Question illustration
A
0.01
B
0.02
C
0.1
D
0.2

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