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polet [3.4K]
3 years ago
6

Elwin Osbourne, CIO at GFS, Inc., is studying employee use of GFS e-mail for non-business communications. He plans to use a 98%

confidence interval estimate of the proportion of e-mail messages that are non-business; he will accept a 0.05 error. Previous studies indicate that approximately 30% of employee e-mail is not business related. Elwin should sample _______ e-mail messages.
Computers and Technology
1 answer:
ziro4ka [17]3 years ago
3 0

Answer: 456

Explanation:

Given : Significance level : \alpha= 1-0.98=0.02

Critical value : z_{\alpha/2}=2.33

Margin of error : E=\pm0.05

The prior proportion of employee e-mail is not business related: p=0.30

The formula to find the sample size is given by :-

n=(p(1-p))(\dfrac{z_{\alpha/2}}{E})^2

i.e. n=(0.3(0.7))(\dfrac{(2.33)}{0.05})^2=456.0276\approx456

Hence, Elwin should sample 456 e-mail messages.

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