Suppose that, in a recent health survey, 500 randomly selected US adult citizens

Question

Suppose that, in a recent health survey, 500 randomly selected US adult citizens were asked a series of questions regarding their health and their financial status. The answers provided by the allow the investigators to categorize each one into a health level and a socioeconomic class. A contingency table summarizing the results of this survey is provided below. Assume that this is a representative sample of US adults and that the answers provided were truthful. (For the two multiple choice questions you have two attempts each) Health Assessment Social Class Poor Fair Good Excellent Poverty Working Middle Upper 16 17 16 0 30 47 84 23 33 49 4554 7 50 23 A) In this study the Social Class variable is: Select Consider that you randomly select one of these records from the 500 responses; use the results published in Table 1, above, to find the following probabilities Note: You may answer in fraction (n/d) form. If you compute a decimal answer, use at least 3-decimal precision B) P(Poor Health)- C) P(Upper Class)- D) P(Poor Health|Poverty Class) - E) P(Poor HealthlUpper Class) - Does it appear that social class and health are dependent? C No, social class adhh appear independent because the marginal probability of poor health is roughly the same as the marginal probability of upper class. No, social class and health appear independent because the marginal probability of poor health is roughly equal to the conditional probabilities of poor health given poverty or upper class. No, social class and health appear independent because correlation does not imply causation Yes, social class and health appear dependent because the marginal probability of poor health is considerably different from the marginal probability of poverty. Yes, social class and health appear dependent because the marginal probability of poor health is considerably different from the conditional probabilities of poor health given poverty or upper class. Yes, social class and health appear dependent because the data show significant evidence that health assessment determines your social class.

Explanation / Answer

A) Explanatory variable / Independent variable

B) P(Poor Health) = (16+30+33+6)/500

= 85/500

= 0.170

C) P(Upper Class) = (6+7+50+23)/500

= 86/500

= 0.172

D) P(Poor Health | Poverty Class) = P(Poor Health and Poverty Class) / P(Poverty Class)

= 16/(16+17+16+0)

= 16/49

= 0.327

E) P(Poor Health | Upper Class) = P(Poor Health and Upper Class) / P(Upper Class)

= 6/86

= 0.070

F) Yes, social class and health appear dependent because the marginal probability of poor health is considerably different from the conditional probability of poor health given poverty or upper class.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.