Two-Way Tables Assignment and Quiz 90%

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram. What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 82%, b = 3% a = 38%, b = 50% a = 38%, b = 3% a = 93%, b = 19%

a = 38%, b = 3%

As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. Males Enjoyed: 47Did not enjoy: 13 Females Enjoyed: 53Did not enjoy: 3 What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 40%, b = 4% a = 41%, b = 3% a = 47%, b = 3% a = 41%, b = 19%

a = 41%, b = 3%

A relative frequency table is made from data in a frequency table. What is the value of k in the relative frequency table? Round the answer to the nearest percent. 2% 11% 20% 33%

11%

A relative frequency table is made from data in a frequency table. What is the value of y in the relative frequency table? Round the answer to the nearest percent. 12% 27% 46% 52%

27%

The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both. Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent. 4% 19% 33% 44%

44%

A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table. Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.

5 students study both French and Spanish. 2 students study neither French nor Spanish. 30 students study French, but not Spanish.

Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way table. A 4-column table with 4 rows. The first column has no label with entries drama, action, comedy, total. The second column is labeled 7th with entries 11%, 25%, 14%, 50%. The third column is labeled 8th with entries 15%, 19%, 16%, 50%. The fourth column is labeled total with entries 26%, 44%, 30%, 100%. Which statements are correct? Check all that apply. More 7th graders were surveyed than 8th graders. The marginal relative frequency for action movies is 44%. The joint relative frequency for 8th graders who like comedy movies is 16%. Most students prefer drama movies. Half of the 7th graders prefer action movies.

The marginal relative frequency for action movies is 44%. The joint relative frequency for 8th graders who like comedy movies is 16%. Half of the 7th graders prefer action movies.

A summer camp has 32 campers. A total of 22 of them swim, 20 play softball, and 5 do not swim or play softball. Which values complete the table? a = 15, b = 10, c = 7, d = 5, e = 12 a = 15, b = 7, c = 5, d = 10, e = 12 a = 14, b = 7, c = 5, d = 12, e = 10 a = 14, b = 12, c = 7, d = 5, e = 10

a = 15, b = 7, c = 5, d = 10, e = 12

The members of a high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The results are given in the Venn diagram. What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 33%, b = 73% a = 68%, b = 43% a = 25%, b = 32% a = 33%, b = 43%

a = 33%, b = 43%

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both. Which is the marginal relative frequency for the people who do not like cantaloupe?

91/200

Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. A 4-column table with 4 rows. The first column has no label with entries county 1, county 2, county 3, total. The second column is labeled Democrat with entries 4,050; 3,925; 2,100; 10,075. The third column is labeled Republican with entries 2,470; 6,010; 5,950; 14,430. The fourth column is labeled total with entries 6,520; 9,935; 8,050; 24,505. Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %

10.1 16.5 58.9 41.1

The following two-way table represents data from a survey asking students whether they have visited Alaska, Hawaii, or both. A 4-column table with 3 rows. The first column has no label with entries Hawaii, not Hawaii, total. The second column is labeled Alaska with entries 6, 8, 14. The third column is labeled not Alaska with entries 15, 21, 36. The fourth column is labeled total with entries 21, 29, 50. What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?

14/50 15/50 21/50

Mr. Capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. He also noted which class each student had taken. Oil-painting Satisfied: 17Not satisfied: 3 Sculpture Satisfied: 25Not satisfied: 5 What is the value of x in the relative frequency table for the survey results? Round the answer to the nearest percent. 3% 6% 8% 15%

6%

A survey was conducted with high school students in each grade to see how many prefer math or science. Some of the data are shown below. Which statement is true about the joint frequencies in this table? Twenty-three 9th graders and fifteen 11th graders prefer math. Fourteen 11th graders prefer math and eight 10th graders prefer science. Thirty-five 12th graders prefer math and nine 10th graders prefer science. Twenty-three 9th graders and thirty-two 12th graders prefer math.

Fourteen 11th graders prefer math and eight 10th graders prefer science.

Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true? More students do both activities at A than at B. More students watch TV at B than at A. More students do neither activity at B than at A. More students were surveyed at A than at B.

More students do neither activity at B than at A.

The two-way frequency table represents data from a survey asking a random sampling of people whether they can see the sunrise or sunset from the front of their home. Which is the joint relative frequency for the people who can only see the sunset?

NOT: 14/38 TRY: 12/38

A soccer coach surveyed the players to determine the number of players who preferred selling coupon books, magazine subscriptions, or both for their fundraiser. The results are given in the Venn diagram. To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%

a = 27%

A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. a = b = c = d = e =

a = 7 b = 31 c = 28 d = 13 e = 65

A survey was conducted with high school students in each grade to see how many participate in sports. The data are shown below. A 6-column table with 3 rows. The first column has no label with entries sports, no sports, total. The second column is labeled 9 with entries 63, 51, blank. The third column is labeled 10 with entries 52, 45, blank. The fourth column is labeled 11 with entries 35, 21, blank. The fifth column is labeled 12 with entries 41, 36, blank. The sixth column is labeled total with entries blank, blank, 344. Which statement is true about the marginal frequencies in this table? 191 students play sports and 150 students do not. 153 students do not participate in sports and seventy-five 12th graders were surveyed 153 students do not participate in sports and 190 do. 191 students play sports and ninety-seven 10th graders were surveyed.

191 students play sports and ninety-seven 10th graders were surveyed.