Educational attainment of Americans by age categories in 198

Educational attainment of Americans by age categories in 1984. Counts are presented in thousands. Data collected by the U.S. Bureau of the Census. Americans under age 25 are not included because many have not completed their education. A chi-square test was used to determine whether age category and educational attainment are independent. The findings are below.

edu.table<-xtabs(Count ~ Education+Age_Group, data=dat)

                              Age_Group

Education                        >64 25-34 35-44 45-54 55-64

College,1-3 years             2503 8555 5576 3124 2524

College,4 or more years       2483 9771 7596 3904 3109

Completed high school         7558 16431 1855 9435 8795

Did not complete high school 13746 5416 5030 5777 7606

> chisq.test(edu.table)

        Pearson\'s Chi-squared test

data: edu.table

X-squared = 22373.57, df = 12, p-value < 2.2e-16

Based on the results,

a) There is not enough evidence to suggest that the amount of education differs across the age groups for this population.

b) There is significant evidence to suggest that the amount of education differs across the age groups that are over 45 for this population.

c) There is significant evidence to suggest that the amount of education differs across the age groups that are over for this population.

d) None of the above

Solution

Chisquare table value at 5% with 12 degrees of freedom is 21.026, calculated value is greater than table value, so we reject null hypothesis.

Therefore there is significant evidence to suggest that the amount of education differs across the age groups that are over for this population.