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In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer swimming or jogging for exercise. This table shows the relative frequencies from the survey.The graph is in the pictureBased on the data in the table, which statements are true? Select all that apply.The questions are in a separate picture

In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer-example-1
In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer-example-1
In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer-example-2
User Jason Jackson
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1 Answer

9 votes
9 votes

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given probabilities

STEP 2: Check if option A is correct


\begin{gathered} Greenvile\text{ that likes swimming}\Rightarrow0.18 \\ Greenvile\text{ that likes jogging}\Rightarrow0.38 \\ 0.38>0.18 \end{gathered}

Hence, Most residents of Greenville prefer jogging to swimming

STEP 3: Check if option B is correct


\begin{gathered} People\text{ who prefer jogging from Greenville}\Rightarrow0.38 \\ People\text{ who prefer jogg}\imaginaryI\text{ng from Fairfield}\operatorname{\Rightarrow}0.20 \\ 0.38>0.20 \\ People\text{ who prefer jogging are more likely from Greenville} \end{gathered}

Hence, Option B is not true

STEP 4: Check if option C is correct

Since more people from Greenville prefers jogging to swimming and more people people from Fairfield prefers swimming to jogging, therefore "There is an association between the town a person lives in and their exercise preference"

Hence, Option D is wrong.

Answer:

Options A and C are true

In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer-example-1
User Aidan
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