Interpreting Relative Frequencies (page 2) The United States Senate has 100 members. 44 are Democrats. On a recent bill, there were 53 YEAs; of these YEAs, 32 votes were Republicans. Complete the two-way table. Yes (“YEA”) No (“NAY”) Total Democrats Republicans Total Using the data in the above two-way table, determine if the following statements are true or false: Both Democrats and Republicans tended to favor the bill. More Republicans than Democrats voted NAY, so Republicans were more likely to oppose the bill that Democrats were. Republicans tended to vote YEA on the bill, while Democrats were more likely to vote NAY than YEA A survey was taken of 8th graders regarding their participation in school clubs. The results are 2. shown in the chart below. Use the results to complete the two-way table. Participate in a Gender Club? Male Female Complete the two-way relative Yes frequency table to show the Gender Participate? Student Male Female Total Male Female Yes No A B C Total D correct percentages No in all cells. E F G H I b) Find the Male Female J relative K frequencies L of students M N in the O survey by column. Express your values as %. c) State whether the results of the survey provide evidence that if you are an 8th grade male you would more likely be a member of a club than not. Explain your answer.
Interpreting Relative Frequencies (page 2) The United States Senate has 100 members. 44 are Democrats. On a recent bill, there were 53 YEAs; of these YEAs, 32 votes were Republicans. Complete the two-way table. Yes (“YEA”) No (“NAY”) Total Democrats Republicans Total Using the data in the above two-way table, determine if the following statements are true or false: Both Democrats and Republicans tended to favor the bill. More Republicans than Democrats voted NAY, so Republicans were more likely to oppose the bill that Democrats were. Republicans tended to vote YEA on the bill, while Democrats were more likely to vote NAY than YEA Participate in a Club? Gender Male Female Yes No 2. A survey was taken of 8th graders regarding their participation in school clubs. The results are shown in the chart below. Use the results to complete the two-way table. Student Gender Participate? Male Female Yes No A B C D E F G H I J K L M N O Male Female Total Total Complete the two-way relative frequency table to show the correct percentages in all cells. Male Female b) Find the relative frequencies of students in the survey by column. Express your values as %. c) State whether the results of the survey provide evidence that if you are an 8th grade male you would more likely be a member of a club than not. Explain your answer.
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