Educational attainment of Americans by age categories in 1984. Counts are presen

Question

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

Explanation / Answer

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.

Oi Ei (Oi-Ei)2 2503 4478.75 871.5798 8555 6843.85 427.8343 5576 3416.9 1364.3106 3124 3788.79 116.6456 2524 3753.7 402.8457 2483 5399.55 1575.3653 9771 8250.89 280.0588 7596 4119.39 2934.1279 3904 4567.74 96.4483 3109 4525.43 443.3333 7558 8859.01 191.0628 16431 13537.2 618.5975 1855 6758.66 3557.7882 9435 7494.27 502.57 8795 7424.8 252.8618 13746 7552.69 5078.5996 5416 11541.05 3250.678 5030 5762.05 93.0046 5777 6389.19 58.6579 7606 6330.01 257.2113 130794 130794 22373.5813

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