You have gathered your grade’s votes for favorite ice cream flavor and topping. Then you organized the data into a two-way frequency table. Interpret the table to generate a two-way table of conditional relative frequencies for students who prefer sprinkles or jelly beans, given they prefer chocolate or vanilla. Round your answers to the nearest whole percentage.%0D%0A%0D%0A(1 point)%0D%0A %09Sprinkles (%)%09Jelly Beans (%)%0D%0AVanilla%09%%09%%0D%0AChocolate%0934%0966
To calculate the conditional relative frequencies for students who prefer sprinkles or jelly beans, given they prefer chocolate or vanilla, we will use the information provided in the two-way frequency table.
First, let's calculate the total number of students who prefer chocolate or vanilla:
Total = 34 (vanilla) + 66 (chocolate) = 100
Next, let's calculate the conditional relative frequencies for students who prefer sprinkles or jelly beans, given they prefer chocolate or vanilla:
For students who prefer chocolate:
- P(Sprinkles | Chocolate) = Number of students who prefer sprinkles and chocolate / Total number of students who prefer chocolate
P(Sprinkles | Chocolate) = 66 / (66+34) = 66 / 100 = 0.66 or 66%
- P(Jelly Beans | Chocolate) = Number of students who prefer jelly beans and chocolate / Total number of students who prefer chocolate
P(Jelly Beans | Chocolate) = 34 / (66+34) = 34 / 100 = 0.34 or 34%
Therefore, the two-way table of conditional relative frequencies for students who prefer sprinkles or jelly beans, given they prefer chocolate or vanilla, is as follows:
```
Sprinkles (%) Jelly Beans (%)
Vanilla - -
Chocolate 66% 34%
```