# a) To find: The percentages of the respondents in each complex are married.

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

#### Solutions

Chapter 2, Problem 2.1P
To determine

## a)To find:The percentages of the respondents in each complex are married.

Expert Solution

Solution:

Complex A: 520*100=0.25*100=25.00%

Complex B: 1020*100=0.5*100=50.00%

### Explanation of Solution

Formula:

Percentage: % = (fN)*100

Where,

f = frequency, or the number of cases in a specific category.

N = the number of cases in all categories.

For complex A,

The frequency of married respondents is f = 5.

Total number of frequencies is N = 20.

Therefore the percentage of the respondents who are married at,

Complex A: 520*100=0.25*100=25.00%

For complex B,

The frequency of married respondents is f = 10.

Total number of frequencies is N = 20.

Therefore the percentage of the respondents who are married at,

Complex B: 1020*100=0.5*100=50.00%

To determine

### b)To find:The ratio of single to married respondents at each complex.

Expert Solution

Solution:

Complex A: 4:5 = 0.80

Complex: B: 6:10 = 0.60

### Explanation of Solution

Ratios are computed by dividing the frequency in one category by the frequency in another one. The formula for a ratio is:

Ratio = (f1f2)

Where,

f1 = the number of cases in the first category.

f2= the number of cases in the second category.

For Complex A,

f1 = the number of singles.

f2= the number of married.

Therefore, the ratio of single to married respondents at complex A is (45) = 0.80.

For Complex B,

f1 = the number of singles.

f2= the number of married.

Therefore, the ratio of single to married respondents at complex B is (610) = 0.60.

To determine

### c)To find:The proportion of the residents of each complex who are widowed.

Expert Solution

Solution:

Complex A: (020) = 0.00.

Complex B: (120) = 0.05.

### Explanation of Solution

Formula:

Proportion = (fN)

Where,

f = frequency, or the number of cases in a specific category.

N = the number of cases in all categories.

For Complex A,

f = the number of widows in Complex A, f = 0.

N = the number of cases in all categories, N = 20.

Therefore, the proportion of the residents of each complex who are widowed is (020) = 0.00.

For Complex B,

f = the number of widows in Complex B, f = 1.

N = the number of cases in all categories, N = 20.

Therefore, the proportion of the residents of each complex who are widowed is (120) = 0.05.

To determine

### d)To find:The percentage of the single respondents living in Complex B.

Expert Solution

Solution:

(66+4)*100=(610)*100=0.6*100=60.00%

### Explanation of Solution

Formula:

Percentage: % = (fN)*100

Where,

f = frequency, or the number of cases in a specific category.

N = the number of cases in all categories.

For complex B,

The frequency of single respondents from Complex B is f = 6.

Total number of single respondents is N = 6 + 4 = 10.

Therefore the percentage of the single respondents living in Complex B is,

(66+4)*100=(610)*100=0.6*100=60.00%

To determine

### e)To find:The ratio of the “unmarried/living together” to the “married” at each complex.

Expert Solution

Solution:

Complex A: 8:5 = 1.60.

Complex: B: 2:10 = 0.20.

### Explanation of Solution

Ratios are computed by dividing the frequency in one category by the frequency in another one. The formula for a ratio is:

Ratio = (f1f2)

Where,

f1 = the number of cases in the first category.

f2= the number of cases in the second category.

For Complex A,

f1 = the number of singles.

f2= the number of married.

Therefore, the ratio of unmarried/living together to married respondents at complex A is:

(85) = 1.60

For Complex B,

f1 = the number of singles.

f2= the number of married.

Therefore, the ratio of single to married respondents at complex B is (210) = 0.20.

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