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The following chart shows the post high school choices for three graduating classes.  Determine if the post high school choices have changed over the three decades.

  1980 1990 2000 Total
College 320 245 288 853
Employment 98 24 17 139
Military 18 19 5 42
Travel 17 2 5 24
Total 453 290 315 1058

This is a chi-square test of independence.

Although the question has been worded as  a test of homogeneity, we could have written it as a test of  independence by asking if post-high school choices were independent of decade of graduation. *the test mechanics are the same!

A chi-square test of independence.

Hypotheses:
Ho _______ and _______ are independent
HA _______ and _______ are not independent
has (r – 1)(c – 1) degrees of freedom

 

 

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