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In a survey of 809 human resource professionals concerning challenges they faced in the​ workplace, 328...

In a survey of 809 human resource professionals concerning challenges they faced in the​ workplace, 328 said that employee​ retention/turnover was an important challenge and 191 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 nothingless than or equalspiless than or equals nothing. ​(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 nothingless than or equalspiless than or equals nothing.

Math   Statistics-And-Probability   
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Answer #1

The formula for the confidence interval of the population proportion at (1-alpha)% level of significance is:

p =

a) The estimate of the population proportion is 328/809 = 0.4054

Using the formula above the 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee​ retention/turnover was an important challenge is given as:

(0.3716, 0.4393)

b) The estimate of the population proportion is 191/809 = 0.2361

Using the formula above 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee satisfaction was an important challenge is given as:

(0.2068, 0.2654)

(part (c) not given)

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