Question

mavis is interested in whether military dependency is related to gender in american samoa. here is data she collected about the population of american samoa in 2010:
military status female male total
in armed forces 28 59 87
military - dependent 928 781 1709
civilian 26,393 27,330 53,723
total 27,349 28,170 55,519
find the relative frequency marginal distribution of gender. round to the nearest whole percent.

Explanation:

Step1: Recall relative - frequency formula

The relative frequency of a category is calculated as $\frac{\text{Frequency of the category}}{\text{Total frequency}}$. The total population is $n = 55519$.

Step2: Calculate relative - frequency for females

The number of females is $27349$. The relative frequency of females, $f_{female}=\frac{27349}{55519}\approx0.4926$. As a percentage, $0.4926\times100 = 49.26\%\approx49\%$.

Step3: Calculate relative - frequency for males

The number of males is $28170$. The relative frequency of males, $f_{male}=\frac{28170}{55519}\approx0.5074$. As a percentage, $0.5074\times 100=50.74\%\approx51\%$.

Answer:

Females: 49%, Males: 51%