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emmasim [6.3K]
2 years ago
14

From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a

random sample of size 110, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

\sigma=\sqrt{n(1-p)p}, where p is the probability of getting success in each trial and n is the sample size.

Given : Sample size : n=110

The proportion of employees older than 55 and considering retirement : p=0.08

Then, the standard deviation is given by :-

\sigma=\sqrt{110(1-0.08)0.08}\approx2.845347079\approx2.845

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.

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