# PA A random sample of 260 workers in a high-rise office building revealed that 30% were very satisfied with the quality of elevator service. At the 99% level, what is your estimate of the population value?

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### Essentials Of Statistics

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

### Essentials Of Statistics

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

#### Solutions

Chapter
Section
Chapter 6, Problem 6.10P
Textbook Problem
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## PA A random sample of 260 workers in a high-rise office building revealed that 30% were very satisfied with the quality of elevator service. At the 99% level, what is your estimate of the population value?

Expert Solution
To determine

The estimate the population value using the 99% confidence level

### Explanation of Solution

Given Information:

A random sample of 260 workers in a high-rise office building revealed that 30% were very satisfied with the quality of elevator service.

Ps=0.30N=260

Formula used:

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

c.i.=Ps±ZPu(1Pu)N

Calculation:

The value of statistic at 99% level of significance is given as,

Z0.01=2.58

Substitute 0.30 for Ps, 2.58 for Z, 0.5 for Pu and 260 for N in the above mentioned formula,

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