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A work sampling study requires an acceptable error level of 7% and 95% confidence. a. What is the adequate sample size if the sample proportion is as large as 57%? b. What is the adequate sample size if the sample proportion is estimated to be about 22%?
On Jun 30, 2024
a.
Proportion, p 0.57 z-value (confidence) 1.96 Accuracy, h 0.07 Results Sample size 192.1 Confidence 5.58%\begin{array}{|l|r|}\hline \text { Proportion, p } & 0.57 \\\hline \text { z-value } & \\ \text { (confidence) } & 1.96 \\\hline \text { Accuracy, h } & 0.07 \\\hline & \\\hline \text { Results } & \\\hline \text { Sample size } & 192.1 \\\hline \text { Confidence } & 5.58 \% \\\hline\end{array} Proportion, p z-value (confidence) Accuracy, h Results Sample size Confidence 0.571.960.07192.15.58% b.
Proportion, p0.22 z-value (confidence) 1.96 Accuracy, h 0.07 Results Sample size 134.53 Confidence 5.58%\begin{array}{|l|r|}\hline \text { Proportion, } \mathrm{p} & 0.22 \\\hline \text { z-value } & \\ \text { (confidence) } & 1.96 \\\hline \text { Accuracy, h } & 0.07 \\\hline & \\\hline \text { Results } & \\\hline \text { Sample size } & 134.53 \\\hline \text { Confidence } & 5.58 \%\\\hline \end{array} Proportion, p z-value (confidence) Accuracy, h Results Sample size Confidence 0.221.960.07134.535.58%