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.
Question
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.
Solution
Sure, here's how you can construct a conditional relative frequency table based on voter preference:
First, let's organize the data:
| Gender | Santiago | Measha | Total |
|---|---|---|---|
| Male | 68 | 77 | 145 |
| Female | 50 | 89 | 139 |
| Total | 118 | 166 | 284 |
Note: The numbers for Measha's male voters and Santiago's female voters are calculated by subtracting the given numbers from the total number of male and female students respectively.
Now, let's calculate the conditional relative frequencies. For each cell, divide the count by the total count in the last column (the total number of males or females):
| Gender | Santiago | Measha |
|---|---|---|
| Male | 68/145 | 77/145 |
| Female | 50/139 | 89/139 |
To convert these fractions to percentages, multiply by 100:
| Gender | Santiago | Measha |
|---|---|---|
| Male | 47% | 53% |
| Female | 36% | 64% |
So, the conditional relative frequency table is:
| Gender | Santiago | Measha |
|---|---|---|
| Male | 47% | 53% |
| Female | 36% | 64% |
This table tells us that 47% of male students plan to vote for Santiago, 53% of male students plan to vote for Measha, 36% of female students plan to vote for Santiago, and 64% of female students plan to vote for Measha.
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