3) Consider the following hypothetical data which explores whether educational a
ID: 3375612 • Letter: 3
Question
3) Consider the following hypothetical data which explores whether educational attainment influences divorce.
Highest Degree
Ever Been Divorced
<High
School
High
School
Junior
College
Bachelors
Degree
Graduate Degree
Yes
107
362
55
89
52
No
285
867
149
374
195
3a) State your null and alternative hypotheses.
3b) Use the data above to construct a bivariate table by hand with cells containing the appropriate percentages for each cell.
3c) Using the method of comparing percentage differences, what can you conclude about these data?
Highest Degree
Ever Been Divorced
<High
School
High
School
Junior
College
Bachelors
Degree
Graduate Degree
Yes
107
362
55
89
52
No
285
867
149
374
195
Explanation / Answer
3a) H0: The educational attainment is not influences divorce
H1: The educational attainment is influences divorce
Let the los be alpha = 5%
3b)
The expected frequencies are
3c) The chisquare contribution values are
Degrees of freedom: 4
Test Statistic, X^2: 22.0618
Critical X^2: 9.48772
P-Value: 0.0002
Here Chisquare value > Chisquare critical value and P-value < alpha 0.05 so we reject H0
Thus we conclude that the educational attainment is influences divorce
Ever Been Divorced < High High Junior Bachelors Graduate Total Yes 102.832 322.4 53.515 121.4576 64.79487 664.9995 No 289.168 906.6 150.485 341.5424 182.2051 1870.001 Total 392 1229 204 463 247 2535Related Questions
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