Association Two Way Tables

The test results of 66 students were compared to whether the students completed a provided review sheet.

Is there an association between completing the review sheet and passing the test?

• Yes, it was more likely that students who failed, completed the review sheet

• Yes, it was more likely that students who passed, completed the review sheet

• No, there is no association

The two-way frequency table shows a survey of 93 students on their favorite season and whether or not they have allergies. Which of the following statements are true?

• A student with allergies is least likely to have spring as their favorite season

• A student was most likely to have summer as their favorite season, whether or not they have allergies.

• A student with no allergies is more likely to have spring than fall as their favorite season.

• A student was more likely to have no allergies, no matter what their favorite season was.

The two-way frequency table shows data on having a curfew and having assigned chores at home. Which of the following statements is true?

• The majority of students have a curfew.

• If a student has a curfew, it is more likely that they have chores.

• More than half the students do not have chores and do not have a curfew.

• If a student does not have chores, it is more likely that they have a curfew.

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument

• Not play a team sport

• Play a team sport

• Play an instrument

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.

Given a student is female, what is the probability the student plays soccer?

• 12/54

• 42/54

• 12/35

• 42/75

What is the probability that a randomly selected student plays sports and does not participate in community service?

• .4444

• .3333

• .1484

• .3

Of the times when the forecast called for rain, what is the percentage that it actually rained?

• About 90%

• About 50%

• About 70%

• About 80%

Given that the grade is a B, what is the probability of the student being male?

• 6/15

• 9/15

• 6/56

• 9/44

Given that the grade is an A, what is the probability of the student being female?

• 8/20

• 12/20

• 8/44

• 12/56

What is the probability that a student plays sports given that they do community service?