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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
In Armed Forces
Military-dependent
Civilian
Total
Male:
Female
Male
28
59
928
781
1709
26,393 27,330 53,723
27,349 28,170 55,519
Find the relative frequency marginal distribution of gender.
Round to the nearest whole percent.
Female: %
%
Total
87

User Leybi
by
8.2k points

2 Answers

0 votes

Answer:

Explanation:

Mavis is interested in whether military dependency is related to gender in American-example-1
User Ylluminate
by
8.0k points
6 votes

Answer:

Explanation:

To find the relative frequency marginal distribution of gender, we need to add up the number of males and females in each category and divide by the total population.

For males, we have:

In Armed Forces: 28

Military-dependent: 59

Civilian: 928

Total: 1015

So the relative frequency for males is:

In Armed Forces: 28/55319 = 0.05 or 5%

Military-dependent: 59/55319 = 0.11 or 11%

Civilian: 928/55319 = 1.68 or 168%

For females, we have:

In Armed Forces: 781

Military-dependent: 1709

Civilian: 26085

Total: 28575

So the relative frequency for females is:

In Armed Forces: 781/55319 = 1.41 or 141%

Military-dependent: 1709/55319 = 3.09 or 309%

Civilian: 26085/55319 = 47.17 or 4717%

The total population is 55319, so the relative frequency marginal distribution of gender is:

Male: (1015/55319) x 100% = 1.84 or 184%

Female: (28575/55319) x 100% = 51.70 or 5170%

Total: 100% (rounded to the nearest whole percent)

Note: It's important to remember that relative frequencies can be greater than 100% when dealing with multiple categories or variables, as in this case with gender and military status.

User Carter Allen
by
8.0k points