Question

the frequency table represents the job status of a number of high school students. job status looking for job not looking for job total currently employed 12 28 40 not currently employed 38 72 110 total 50 100 150 which shows the conditional relative frequency table by column? job status looking for job not looking for job total currently employed 0.3 0.7 ~0.27 not

Explanation:

Step1: Recall conditional - relative frequency by column formula

Conditional relative frequency by column = $\frac{\text{Frequency in cell}}{\text{Column total}}$

Step2: Calculate for "Currently Employed" and "Looking for Job"

For the cell of "Currently Employed" and "Looking for Job", the frequency is 12 and the column - total of "Looking for Job" is 50. So the conditional relative frequency is $\frac{12}{50}=0.24$

Step3: Calculate for "Currently Employed" and "Not Looking for Job"

For the cell of "Currently Employed" and "Not Looking for Job", the frequency is 28 and the column - total of "Not Looking for Job" is 100. So the conditional relative frequency is $\frac{28}{100} = 0.28$

Step4: Calculate for "Not Currently Employed" and "Looking for Job"

For the cell of "Not Currently Employed" and "Looking for Job", the frequency is 38 and the column - total of "Looking for Job" is 50. So the conditional relative frequency is $\frac{38}{50}=0.76$

Step5: Calculate for "Not Currently Employed" and "Not Looking for Job"

For the cell of "Not Currently Employed" and "Not Looking for Job", the frequency is 72 and the column - total of "Not Looking for Job" is 100. So the conditional relative frequency is $\frac{72}{100}=0.72$

The conditional relative - frequency table by column:

Job Status	Looking for Job	Not Looking for Job	Total
Not Currently Employed	0.76	0.72
Total	1	1

Since the original question seems to be a multiple - choice question but the options are not provided completely, we can't give a specific option as the answer. But the above is the correct conditional relative - frequency table by column. If you provide the options, we can further determine the correct one.

Answer:

Step1: Recall conditional - relative frequency by column formula

Conditional relative frequency by column = $\frac{\text{Frequency in cell}}{\text{Column total}}$

Step2: Calculate for "Currently Employed" and "Looking for Job"

For the cell of "Currently Employed" and "Looking for Job", the frequency is 12 and the column - total of "Looking for Job" is 50. So the conditional relative frequency is $\frac{12}{50}=0.24$

Step3: Calculate for "Currently Employed" and "Not Looking for Job"

For the cell of "Currently Employed" and "Not Looking for Job", the frequency is 28 and the column - total of "Not Looking for Job" is 100. So the conditional relative frequency is $\frac{28}{100} = 0.28$

Step4: Calculate for "Not Currently Employed" and "Looking for Job"

For the cell of "Not Currently Employed" and "Looking for Job", the frequency is 38 and the column - total of "Looking for Job" is 50. So the conditional relative frequency is $\frac{38}{50}=0.76$

Step5: Calculate for "Not Currently Employed" and "Not Looking for Job"

For the cell of "Not Currently Employed" and "Not Looking for Job", the frequency is 72 and the column - total of "Not Looking for Job" is 100. So the conditional relative frequency is $\frac{72}{100}=0.72$

The conditional relative - frequency table by column:

Job Status	Looking for Job	Not Looking for Job	Total
Not Currently Employed	0.76	0.72
Total	1	1

Since the original question seems to be a multiple - choice question but the options are not provided completely, we can't give a specific option as the answer. But the above is the correct conditional relative - frequency table by column. If you provide the options, we can further determine the correct one.