Question

In: Statistics and Probability

In a survey of 848 human resource professionals concerning challenges they faced in the​ workplace, 319...

In a survey of 848 human resource professionals concerning challenges they faced in the​ workplace, 319

said that employee​ retention/turnover was an important challenge and 195 said that employee satisfaction was an important challenge. Complete parts​ (a) through​ (c) below.

a. Construct a​ 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee​ retention/turnover was an important challenge.

The​ 95% confidence interval estimate for the population proportion is

_< π<_

​(Round to four decimal places as​ needed.)

b. Construct a​ 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee satisfaction was an important challenge.

The​ 95% confidence interval estimate for the population proportion is

_≤π≤_

​(Round to four decimal places as​ needed.)

c. How would a human resource professional use the results of​ (a) and​ (b)?

The proportion of survey respondents that said employee​ retention/turnover was an important challenge was

▼ Options

equal to

greater than

less than

the proportion of survey respondents that said employee satisfaction was an important​ challenge, and the two confidence intervals

▼Options

overlap,

do not overlap,

so a human resource professional

▼Options

would want to prioritize turnover/retention

could reasonably pioritize either issue

would want to prioritize satisfaction

Would want to prioritize satisfaction

Solutions

Expert Solution

For a two tail 95% confidence interval, the critical Z value is z* = 1.96. Hence, the confidence interval is computed as

For a two tail 95% confidence interval, the critical Z value is z* = 1.96. Hence, the confidence interval is computed as

The proportion of survey respondents that said employee​ retention/turnover was an important challenge was

greater than

the proportion of survey respondents that said employee satisfaction was an important​ challenge, and the two confidence intervals

do not overlap,

so a human resource professional

would want to prioritize turnover/retention

orchestra answered 2 years ago
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