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students from four different towns were surveyed about whether they pre…

Question

students from four different towns were surveyed about whether they prefer indoor or outdoor sports. the results are shown in the table:

town atown btown ctown dtotal
outdoor sports20254035120
total45558050230

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

Explanation:

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.

Answer:

percentage of students from Town D; outdoor; percentage of students from Town D; indoor