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A table represents the possibility of an association between eye color and hair color. Hair Color...

A table represents the possibility of an association between eye color and hair color.

Hair Color
Eye Color Brown Black
Green 22 15
Blue 18 19


In order to determine if there is a significant difference between eye color and hair color, the chi-square test for association and independence should be performed.

What is the expected frequency of Blue Eyes and Black Hair?

  • a.)

    20

  • b.)

    17

  • c.)

    19

  • d.)

    18


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Answer #1

Solution :

The observed frequencies are

Hair color

Eye color Brown Black Total
Green 22 15 37
Blue 18 19 37
Total 40 34 74

The expected frequency of any cell = Total of that cells row * Total of the cells column / Grand total

The expected frequency of Blue eyes and Black Hair = 37 * 34  / 74

= 17

The answer is option ( b)

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