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In a recent survey, a sample of 1033 adults named their favorite sports team. They were also asked, “How important is being a fan of this team in your life?”10 people said that being a fan was “the most important thing” in their life, 145 people said that being a fan was “very important,” 434 people said that being a fan was “somewhat important,” 320 people said that being a fan was “not too important,” and 124 people said that being a fan was “not at all important” in their life.Which of the following columns (A, B, C, D, or E) correctly shows the responses to this question as a probability model? (A)  (B)  (C)  (D)  (E)The most important thing 14% 1% 1% 14% 1%Very important 42% 14% 14% 42% 33%Somewhat important 31% 42% 42% 31% 42%Not too important 12% 8% 31% 3% 12%Not at all important 1% 2% 12% 5% 31%Group of answer choicesColumn AColumn BColumn CColumn DColumn E

Question

In a recent survey, a sample of 1033 adults named their favorite sports team. They were also asked, “How important is being a fan of this team in your life?”10 people said that being a fan was “the most important thing” in their life, 145 people said that being a fan was “very important,” 434 people said that being a fan was “somewhat important,” 320 people said that being a fan was “not too important,” and 124 people said that being a fan was “not at all important” in their life.Which of the following columns (A, B, C, D, or E) correctly shows the responses to this question as a probability model? (A)  (B)  (C)  (D)  (E)The most important thing 14% 1% 1% 14% 1%Very important 42% 14% 14% 42% 33%Somewhat important 31% 42% 42% 31% 42%Not too important 12% 8% 31% 3% 12%Not at all important 1% 2% 12% 5% 31%Group of answer choicesColumn AColumn BColumn CColumn DColumn E

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Solution

To find the correct column, we need to calculate the percentage of each response from the total number of respondents.

  1. "The most important thing" - 10 out of 1033 is approximately 0.97%, which is closest to 1%.
  2. "Very important" - 145 out of 1033 is approximately 14.03%, which is closest to 14%.
  3. "Somewhat important" - 434 out of 1033 is approximately 42.01%, which is closest to 42%.
  4. "Not too important" - 320 out of 1033 is approximately 30.98%, which is closest to 31%.
  5. "Not at all important" - 124 out of 1033 is approximately 12%, which is closest to 12%.

So, the correct column is Column C.

This problem has been solved

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