Question

in a 2012 report from the u.s. department of education breaking down the race and gender of every u.s. college graduate receiving a bachelors degree in 2009 - 2010, we see the following data for white, black, and hispanic graduates. (numbers are in 1000s.)

	gender
white (expected)	514 (508.32)	654 (689.68)	1198
black (expected)	56 (70.01)	109 (94.99)	165
hispanic (expected)	55 (59.40)	85 (80.60)	140
total	625	848	1473

source: \degrees cconferred by sex and race,\ national center for education statistics, u.s. department of education. https://nces.ed.gov/fastfacts/display.asp?id = 72

what is the contribution of hispanic females to the chi - square test - statistic?

a. 0.24
b. 80.60
c. 4.40
d. 60.71

Explanation:

Step1: Recall chi - square formula

The formula for the contribution of a cell to the chi - square test - statistic is $\chi^2_{cell}=\frac{(O - E)^2}{E}$, where $O$ is the observed frequency and $E$ is the expected frequency.

Step2: Identify observed and expected values

For Hispanic females, the observed value $O = 85$ and the expected value $E=80.60$.

Step3: Calculate the contribution

Substitute the values into the formula: $\chi^2_{cell}=\frac{(85 - 80.60)^2}{80.60}=\frac{(4.4)^2}{80.60}=\frac{19.36}{80.60}\approx0.24$.

Answer:

A. 0.24