Question

a survey asked students at wilson academy which status they would prefer - to be happy, healthy, or rich - and how much pressure they felt from their homework. the two - way table of row relative frequencies below shows the data. preferred status vs. pressure from homework based on the data, which of the following statements about students at wilson academy must be true? choose 1 answer: a student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich. a student who prefers to be happy is more likely to feel very little pressure than a lot of pressure from homework. a person who feels some pressure from homework is most likely to prefer to be rich. an equal number of students who feel a lot of pressure from homework prefer to be happy as prefer to be healthy.

Explanation:

Step1: Analyze option A

Compare the "very little" column for "Healthy" (0.15) and "Rich" (0.05). Since \(0.15>0.05\), a student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step2: Analyze option B

For "Happy", the "very little" frequency is 0.13 and the "a lot" frequency is 0.40. Since \(0.13 < 0.40\), a student who prefers to be happy is less likely to feel very little pressure than a lot of pressure.

Step3: Analyze option C

For the "some" column, 0.39 (Happy) > 0.31 (Healthy) > 0.30 (Rich). So a person who feels some pressure is most likely to prefer to be happy, not rich.

Step4: Analyze option D

The frequencies for "a lot" pressure are 0.40 (Happy) and 0.40 (Healthy). But these are relative frequencies, not actual numbers. We don't know if the total number of students in each preference group is the same. So we can't say the number of students is equal.

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.