 # PA A random sample of 100 inmates at a maximum security prison shows that exactly 10 of the respondents had been the victims of violent crime during their incarceration. Estimate the proportion of victims for the population as a whole, using the 90% confidence level. ( HINT . Calculate the sample proportion P s before using Formula 6.3. Remember that a proportion is equal to frequency divided by N .) ### 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 6.8P
Textbook Problem
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## PA A random sample of 100 inmates at a maximum security prison shows that exactly 10 of the respondents had been the victims of violent crime during their incarceration. Estimate the proportion of victims for the population as a whole, using the 90% confidence level. ( HINT. Calculate the sample proportion P s before using Formula 6.3. Remember that a proportion is equal to frequency divided by N .)

Expert Solution
To determine

The estimate the proportion of victims for the population using the 90% confidence level

### Explanation of Solution

Given Information:

A random sample of 100 inmates at a maximum security prison shows that exactly 10 of the respondents had been the victims of violent crime during their incarceration.

X¯=10N=100

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=10100=0.1

The value of statistic at 90% level of significance is given as,

Z0.10=1.65

Substitute 0.1 for Ps, 1

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