The given table refers to a survey in which senior high school students were ran

Question

The given table refers to a survey in which senior high school students were randomly sampled. It cross- tabulates whether a student had ever smoked cigarettes and whether a student had ever used marijuana. Analyze these data by (a) finding and interpreting conditional distributions with marijuana use as the response variable and (b) reporting all five steps of the chi-squared test of independence.

         Marijuana

Cigarettes

Yes

No

Yes

914

581

No

46

735

         Marijuana

Cigarettes

Yes

No

Yes

914

581

No

46

735

Explanation / Answer

Below are the null and alternate hypothesis

H0: Cigarettes and Marijuana smokers are independent

H1: Cigarettes and Marijuana smokers are not independent

DF = (2-1)*(2-1) = 1

2 = [ (Or,c - Er,c)2 / Er,c ] = 642.04

p-value = 0.0000

As p-value is less than significance level of 0.05, we reject the null hypothesis

There is significant evidence to conclude that population of cigarettes smokers and marijuana smokers are not independent.

Observed Marijuana cigarettes yes no Total Yes 914 581 1495 No 46 735 781 Total 960 1316 2276

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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