# SOC The survey mentioned in problem 6.5 found that 25 of the 178 households consisted of unmarried couples who were living together. What is your estimate of the population proportion? Use the 95% level.

### 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
Section
Chapter 6, Problem 6.9P
Textbook Problem
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## SOC The survey mentioned in problem 6.5 found that 25 of the 178 households consisted of unmarried couples who were living together. What is your estimate of the population proportion? Use the 95% level.

Expert Solution
To determine

The estimate the proportion of the population using the 95% confidence level.

### Explanation of Solution

Given Information:

A random sample of 25 of the 178 households consisted of unmarried couples who were living together.

X¯=25N=178

Formula used:

Confidence interval for a sample proportion (large sample) is given by,

c.i.=Ps±ZPu(1Pu)N

Calculation:

From the given information,

Ps=X¯N=25178=0.14

The value of statistic at 95% level of significance is given as,

Z0.05=1.96

Substitute 0.14 for Ps, 1

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