The U.S. Census Bureau compiles census data on educational attainment of Americans. From the document Current Population Reports

Brennan Flores

Brennan Flores

Answered question

2021-09-22

The U.S. Census Bureau compiles census data on educational attainment of Americans. From the document Current Population Reports, we obtained the 2000 distribution of educational attainment for U.S. adults 25 years old and older. Here is that distribution.
[Table]
A random sample of 500 U.S. adults (25 years old and older) taken this year gave the following frequency distribution.
[Table]
Decide, at the 5% significance level, whether this year’s distribution of educational attainment differs from the 2000 distribution.

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-09-23Added 97 answers

1. Determine the observed frequencies and the chi-square subtotals:
2. Add all chi-square subtotals:
x2=2.674
Determine the critical value using table VII with df=c1=61=5.
x20.05=11.070
If the test statistic x2 is more than the critical value, then reject the null hypothesis:
2.674<11.070 Do not reject H0

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