Each of 133 children in a sample was asked to choose a pencil. Three different colors were available: yellow, red, and blue. The number of 2-year olds and 3-year olds who selected each color is shown in the table above. In a test of independence of age and color, which of the following is used as the expected cell count for 2-year olds who select a yellow pencil?

Summary Submit Skip Question

If color and age were independent, the expected count should be:

$$ P(\text{2-year old})\cdot P(\text{Yellow}) \cdot \text{Number of Children} $$ $$ = \frac{14+32+19}{133} \cdot \frac{14+28}{133} \cdot 133 $$ $$ = \boxed{ \dfrac{(14+28)(14+32+19)}{133} } $$