Question

. Nineteen people move out of a neighborhood; four are minorities. Of the nineteen, eight move onto a block with new housing, and one of these eight is a minority. How likely is it that, if there were no discrimination, less than two people out of the eight people on this new block would be minorities? If the resulting probability is less than 0.05, evidence for discrimination exists. Does such evidence exist in this case?

Answer #1

Total number of people = 19

Number of minorities = 4

Number of people in the new block = 8

Let X be the number of minorities in the new block.

Number of ways in which 8 people in the new block be selected from the 19 people =

Number of ways in which no minority is selected =

Number of ways in which exactly one minority is selected =

Since this probability is not less than 0.05, evidence for discrimination does not exist.

Nineteen people move out of a neighborhood; four are minorities.
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this new block would be minorities? If the resulting probability is
less than 0.05, evidence for discrimination exists. Does such
evidence exist in this case?

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