CLASS PRESIDENT In a poll for senior class president, 68 of the 145 male students said they planned to vote for Santiago. Out of 139 female students, 89 planned to vote for his opponent, Measha. Construct a conditional relative frequency table based on voter preference. Show your calculations on a separate sheet of paper. Round to the nearest whole percent if necessary. Santigo MeashaFemale % %Male % %Total 100% 100%
Question
CLASS PRESIDENT In a poll for senior class president, 68 of the 145 male students said they planned to vote for Santiago. Out of 139 female students, 89 planned to vote for his opponent, Measha. Construct a conditional relative frequency table based on voter preference. Show your calculations on a separate sheet of paper. Round to the nearest whole percent if necessary. Santigo MeashaFemale % %Male % %Total 100% 100%
Solution
To construct a conditional relative frequency table based on voter preference, we need to calculate the percentage of male and female students who plan to vote for Santiago and Measha. Here are the steps:
-
Calculate the total number of students:
- Total male students = 145
- Total female students = 139
- Total students = 145 + 139 = 284
-
Calculate the number of students who plan to vote for each candidate:
- Male students voting for Santiago = 68
- Male students voting for Measha = 145 - 68 = 77
- Female students voting for Measha = 89
- Female students voting for Santiago = 139 - 89 = 50
-
Calculate the conditional relative frequencies:
- For males voting for Santiago: (68 / 145) * 100 ≈ 47%
- For males voting for Measha: (77 / 145) * 100 ≈ 53%
- For females voting for Santiago: (50 / 139) * 100 ≈ 36%
- For females voting for Measha: (89 / 139) * 100 ≈ 64%
-
Construct the table:
| Santiago | Measha | |
|---|---|---|
| Female | 36% | 64% |
| Male | 47% | 53% |
| Total | 100% | 100% |
This table shows the conditional relative frequencies of male and female students who plan to vote for Santiago and Measha.
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