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14) the following mosaic plot displays the information gathered in a re…

Question

  1. the following mosaic plot displays the information gathered in a recent statistics survey, that asked the class what their favorite subject is. the data was recorded, along with their gender. which of the following interpretations, based on the mosaic plot, is false? (a) english is the least popular subject among all students. (b) 83% of those who listed english as their favorite subject were male. (c) more males than females listed science as their favorite subject. (d) more females than males listed math as their favorite subject. (e) the number of males that listed history as their favorite subject is equal to the number of males art/music as their favorite subject.

Explanation:

Brief Explanations
  • Option A: The width of the English bar is the narrowest among all subjects, indicating it is the least popular.
  • Option B: The light - colored (male) part of the English bar is approximately 17% (since \(100 - 83=17\) for the female part), so this statement is false.
  • Option C: The light - colored (male) part of the Science bar is larger than the dark - colored (female) part.
  • Option D: The dark - colored (female) part of the Math bar is larger than the light - colored (male) part.
  • Option E: The width of the male part (light - colored) for History and Art/Music is the same.

Answer:

B. 83% of those who listed English as their favorite subject were male.