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12. A survey asks questions about one\'s happiness and health. One would think t

ID: 3322697 • Letter: 1

Question

12. A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable.

Data table

Poor

Fair

Good

Excellent

Not too happy

696

1,386

1,629

732

Pretty happy

940

3, 817

9,642

5,195

Very happy

345

1, 382

4,520

5,095

Create a conditional distribution for the data.

Level of Health

Level of Happiness

Poor

Fair

Good

Excellent

Not too happy

?

?

?

?

Pretty happy

?

?

?

?

Very happy

?

?

?

?

Total

?

?

?

?

(Round to three decimal places as needed.)

Use the conditional distribution to determine if healthier people tend to be happier. Choose the correct answer below.

MULTIPLE CHOICE

A. No; the percent that are not happy increases when health increases.

B. Yes; the percent that are pretty happy stays constant when health increases.

C. Yes; the percent that are not happy decreases when health increases.

D. No; the percent that are very happy decreases when health increases.

Poor

Fair

Good

Excellent

Not too happy

696

1,386

1,629

732

Pretty happy

940

3, 817

9,642

5,195

Very happy

345

1, 382

4,520

5,095

Explanation / Answer

here dividing each cell with their column total below is the conditional distribution table:

C. Yes; the percent that are not happy decreases when health increases.

poor Fair Good Excellent Not too happy 0.351 0.210 0.103 0.066 Pretty happy 0.475 0.580 0.611 0.471 Very happy 0.174 0.210 0.286 0.462 total 1.000 1.000 1.000 1.000