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Relative Frequencies and Association Answers

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A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.The counselor converts the frequency table to a conditional relative frequency table by column.What is the value of X?

Question illustration
A
0.16
B
0.20
C
0.24
D
0.40
2
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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
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 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.
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

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.
7

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
8

The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day. Fifty people who voted and 85 people who did not vote were chosen at random and surveyed.

Question illustration
A
32
B
34
C
66
D
69
9

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. The dealer used the data from the frequency table to create this conditional relative frequency table by column.Which is the best description of the 0.1 in the table?

Question illustration
A
Given that a car is a coupe, there is a 10% chance it is from the previous model year.
B
Given that a car is from the previous model year, there is a 10% chance that it is a coupe.
C
There is a 10% chance that the car is from the previous model year.
D
There is a 10% chance that the car is a coupe.
10

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

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