SOLUTION: A random sample of 200 married men, all retired were classified according to Education and Number of Children as detailed below: Number of Children Education 0-1 2-3 O

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Question 363887: A random sample of 200 married men, all retired were classified according to Education and Number of Children as detailed below:
Number of Children
Education 0-1 2-3 Over3
Elementary 14 37 32
Secondary 19 43 17
College 22 17 10


Test the hypothesis that at 0.05 level of significance, the size of family is independent of the level of education attained by the father.


Answer by stanbon(75887) About Me  (Show Source):
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A random sample of 200 married men, all retired were classified according to Education and Number of Children as detailed below:
Number of Children
Education 0-1 2-3 Over3
Elementary 14 37 32
Secondary 19 43 17
College 22 17 10

Test the hypothesis that at 0.05 level of significance, the size of family is independent of the level of education attained by the father.

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Ho: row and column factors are independent
Ha: they are not independent
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I ran a Chi-Sq test against the 3 by 3 set of data
and got the following:
test statistic: Chi-Sq = 17.6073
p-value = 0.0015
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Since the p-value is less that 5%, reject Ho.
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Cheers,
Stan H.