Question

students in 10th and 11th grade were asked whether they have a job. the raw data was converted to relative frequencies and recorded in the table below. given the conditional relative frequency table by column, what does the 0.14 represent? 10th grade 11th grade total job 0.14 0.25 0.20 no job 0.86 0.75 0.80 total 1 1 1 given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.

Explanation:

In a conditional - relative frequency table by column, the values represent the conditional probabilities within each column. The first column is for 10th - graders. The value 0.14 is in the "Job" row of the "10th Grade" column, meaning given that a student is a 10th - grader, the probability (or chance) that the student has a job is 0.14 or 14%.

Answer:

Given that a student is a 10th grader, there is a 14% chance he or she has a job.