Assessing Sample Bias?



I have a large data set, including whites, blacks, and mexicans of both
sexes. I want to determine whether there was sample bias with respect to
gender-race combinations, e.g. were black males under-represented in the
sample?

The textbook formula for a two-sample t test talks about using n1 and n2 for
the standard error expression.

When I want to compare black males (defined as p1) to p2, how should p2 be
defined? Should p2 be defined as the proportion of all nonblack males? Or
should p2 be the proportion of all males in the sample (including blacks)?

Of course, this would affect which value to use for n2 in the standard
error.


.



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