the labor relations manager of a large corporation wished to study the absenteei

Question

the labor relations manager of a large corporation wished to study the absenteeism among workers at the company’s central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. in estimating the 95% confidence interval estimates of the proportion of workers absent more than 10 days last year, what is the value of the Z used in the formula? the labor relations manager of a large corporation wished to study the absenteeism among workers at the company’s central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. in estimating the 95% confidence interval estimates of the proportion of workers absent more than 10 days last year, what is the value of the Z used in the formula?

Explanation / Answer

since we are estimating the 95% confidence interval for the proportion of workers who absent more than 10 days last year, so we have to check the z value in the normal distribution for 0.05 significance level

using the normal distribution table for 0.05 significance level, we get z score = 1.96

so, the required value of z score needed to estimate the 95% confidence interval, we need z score of 1.96 using the normal distribution table.

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