QUESTION IMAGE
Question
students from four different towns were surveyed about whether they prefer indoor or outdoor sports. the results are shown in the table:
| town a | town b | town c | town d | total | |
|---|---|---|---|---|---|
| outdoor sports | 20 | 25 | 40 | 35 | 120 |
| total | 45 | 55 | 80 | 50 | 230 |
answer options to the blanks to justify a positive association between preferring outdoor sports and living in town d:
there is a positive association because the ____________ who prefer __________ sports is greater than the __________ who prefer ____________ sports
- number of students from town d
- percentage of students from town d
- total number of students
- percentage of all students
- indoor
- outdoor
Step1: Calculate percentage for outdoor in Town D
First, find the percentage of students from Town D who prefer outdoor sports. The number of outdoor - preferring students in Town D is 35, and the total number of students in Town D is 50. So the percentage is $\frac{35}{50}\times100\% = 70\%$.
Step2: Calculate percentage for indoor in Town D
Next, find the percentage of students from Town D who prefer indoor sports. The number of indoor - preferring students in Town D is 15, and the total number of students in Town D is 50. So the percentage is $\frac{15}{50}\times100\%=30\%$.
Step3: Compare the two percentages
We compare the percentage of students from Town D who prefer outdoor sports (70%) with the percentage of students from Town D who prefer indoor sports (30%). Since 70% > 30%, there is a positive association because the percentage of students from Town D who prefer outdoor sports is greater than the percentage of students from Town D who prefer indoor sports.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
percentage of students from Town D; outdoor; percentage of students from Town D; indoor