Problem 4 Use all three methods: Graphs, Chi-square test, Compare conditional di

Question

Problem 4 Use all three methods: Graphs, Chi-square test, Compare conditional distributions - the same way we did in class. The following table gives the two way classification of 1000 people who have been married at least once. They are classified by educational level and marital status. Is there a relationship between "educational level" and "ever being divorced? Educational Level High School Degree 158 126 Less Than High School Some College Divorced 173 95 53 Never divorced 162 123 Hint-p-value is close to zero (show all calculations)

Explanation / Answer

here null hypothesis: Ho: education level and marital status are independent

alternate hypothesis: Ha: education level and marital status are dependent

for above: applying chi squre test of independence

for above test stat X2 =31.196

degree of freedom =(rows-1)*(column-1) =(2-1)*(4-1)=3

for 3 df and above test stat ;. p value =0.0000

as p value is signfiicantly low we reject null hypothesis

and conclude that there is a relationship between education level and ever being divorced

Observed O <high school high school some college college degree Total Divorced 173 158 95 53 479 Never Divorced 162 126 110 123 521 Total 335 284 205 176 1000 Expected E=rowtotal*column total/grand total <high school high school some college college degree Total Divorced 160.47 136.04 98.20 84.30 479 Never Divorced 174.54 147.96 106.81 91.70 521 Total 335 284 205 176 1000 chi square =(O-E)^2/E <high school high school some college college degree Total Divorced 0.9792 3.5462 0.1040 11.6239 16.253 Never Divorced 0.9003 3.2604 0.0956 10.6868 14.943 Total 1.879 6.807 0.200 22.311 31.196

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