Mathematics, 26.09.2019 23:00 Kikilcaro9675
Abusiness magazine conducted a survey of 751 employees who had been at their current employer for 5 or more years. of these employees, 295 responded that they were bored in their current position. create a 99% confidence interval for the proportion of employees who have been with their current employer for 5 or more years and reported being bored in their current position. use excel to create the confidence interval, rounding to four decimal places.
Answers: 2
confidence interval for the population proportion is:![\left [0.3469, \hspace{0.1cm} 0.4387\right]](/tpl/images/0266/1109/6f7d8.png)
for the population proportion will be calculated.![$$Sample proportion: $\bar P=0.3928$\\Sample size $n=751$\\Confidence level $(1-\alpha)\times100\%=99\%$\\$\alpha: \alpha=0.01$\\Z values (for a 99\% confidence) $Z_{\alpha/2}=Z_{0.005}=2.5758$\\\\Then, the (1-\alpha) \times 100\%$ confidence interval for the population proportion is given by:\\\\\left [\bar P - Z_{\frac{\alpha}{2}}\sqrt{\frac{\bar P(1- \bar P)}{n}}, \hspace{0.3cm}\bar P + Z_{\frac{\alpha}{2}}\sqrt\frac{\bar P(1- \bar P)}{n} \right ]](/tpl/images/0266/1109/a03e2.png)
![\left [0.3928 - 2.5758\sqrt{\frac{0.3928(1-0.3928)}{751}}, \hspace{0.1cm}0.3928 + 2.5758\sqrt{\frac{0.3928(1-0.3928)}{751}} \right ]=\left [0.3469, \hspace{0.1cm} 0.4387\right]](/tpl/images/0266/1109/95b50.png)
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Abusiness magazine conducted a survey of 751 employees who had been at their current employer for 5...
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