Independence and Two Way Tables

Customers of a department store were given coupons for a discount on their purchases. The number of customers per type of discount and the time of day are shown in the table below. Based on the table, which statement is true?

• The fewest number of coupons given were 15%-off coupons in the afternoon

• The greatest number of coupons given were 20%-off coupons in the afternoon.

• Customers were given 25% more coupons in the afternoon than in the evening.

• Customers were given more coupons in the evening than they were given in the morning

Teachers attending a conference were offered four types of sandwiches for lunch. The number and types of sandwiches chosen by each male and female teacher are shown in the table below. Based on the table, which conclusion is reasonable?

• The percentage of male teachers who selected a ham sandwich is more than twice the percentage of all teachers who selected a tuna sandwich.

• The percentage of males who selected a chicken sandwich is exactly the same as the percentage of females who selected a chicken sandwich

• The percentage of male teachers who selected a turkey sandwich is greater than the percentage of female teachers who selected a turkey sandwich.

• The percentage of female teachers who selected a turkey sandwich or ham sandwich is less than the percentage of male teachers who selected a turkey sandwich.

The table below shows the survey results of 100 students who were asked 2 questions: “Do you play a sport?” and “Do you play a musical instrument?” Based on the survey results, which statement is the most accurate?

• Students who play a sport also tend to play a musical instrument.

• Students who play a sport do not tend to play a musical instrument.

• Students who do not play a sport tend to play a musical instrument.

• Students who do not play a sport also tend not to play a musical instrument.

A bowling alley provides bowling balls with weights of 11, 12, 13, and 14 pounds. This information is shown in the table along with the number of bowling balls used by 120 student bowlers in Grades 6, 7, and 8. What fraction of student bowlers in Grade 7 used a 13-pound bowling ball?

• 1/6

• 1/5

• 2/5

• 2/3

The percentages of tips left by customers at a certain restaurant during one week are recorded in the table below. Based on the data, when are customers most likely to leave a tip of 15% or more?

• Breakfast

• Lunch

• Dinner

• Late Night

The numbers of students enrolled in a foreign language class in Grades 6, 7, and 8 at Bradley Middle School are shown in the table. Which value is closest to the percentage of the Grade 7 students enrolled in French or German?

• 23

• 28

• 47

• 64

Joseph surveyed the students in his class about their favorite subject and favorite sport. The table below shows the results of his survey. What is the relative frequency of the students in Joseph’s class who like both math and swimming to the total number of students who like math better than English?

• 0.63

• 0.62

• 0.58

• 0.36

A random sample of students at a middle school were asked whether they preferred to play soccer or hockey. The results of the survey are shown in the table below. Which conclusion reflects the patterns of association in the table?

• Hockey is more popular than soccer at the middle school.

• A greater percentage of eighth graders prefer soccer than sixth graders.

• A greater percentage of seventh graders prefer soccer than sixth graders.

• Seventh graders are more likely to prefer hockey than are sixth or eighth graders

Seventh and eighth grade students were asked whether they preferred pizza or tacos. The results of the survey are shown in the table below. What is the relative frequency of a student being an eighth grader given that they prefer pizza?

• 0.08

• 0.22

• 0.81

• 0.56

Albert surveyed the people at a local ice cream shop on whether they prefer chocolate or vanilla as a flavor of ice cream. The table below shows the result of Albert’s survey. Which conclusion is true?

• Most males and females prefer vanilla ice cream more than chocolate ice cream

• Both males and females prefer chocolate and vanilla ice cream equally.

• Males prefer chocolate ice cream more than vanilla ice cream

• Females prefer chocolate ice cream more than males.