What is the relationship between race/ethnicity and years of education? The foll
ID: 3218436 • Letter: W
Question
What is the relationship between race/ethnicity and years of education? The following table shows the average years of education by race/ethnicity for 25 to 29 year old GSS respondents from 2000 to 2012:
Is this relationship statistically significant? Set up this problem in the hypothesis testing framework and complete the following ANOVA table based on the actual GSS data. Use =0.001, determine Fcritical to make a statistical decision and interpret the result.
racecat N mean sd white 1084 14.02 2.71 black 269 13.11 2.32 asian 85 14.64 2.95 hispanic 133 11.97 3.47 total 1571 13.73 2.81Explanation / Answer
from above at 0.001 level and 3 and 1567 degree of freedom; F critical =5.4486
as F stat =30.22553 which is higher then F critical we reject that ethnicity and eduaction are independent and conclude that we have sufficent evidecen of existance of a relationship b/w ethnicity and education
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