Asked by Daniel Sanchez on Jun 11, 2024
Verified
A work sampling study requires an acceptable error level of 3% and 98% confidence. a. What is the adequate sample size if the sample proportion is as large as 67%? b. What is the adequate sample size if the sample proportion is estimated to be about 31%?
Error Level
The magnitude or frequency of mistakes or inaccuracies within a process, system, or document.
Confidence
The measure of certainty or belief in the effectiveness, quality, or reliability of something, often used in statistical analysis or personal assurance.
Sample Proportion
The fraction or percentage of observations from a particular category within a sample, used in statistics to make inferences about populations.
- Determine the requisite number of samples for time studies to obtain targeted confidence levels and error margins.
Verified Answer
Proportion, p 0.67 z-value confidence) 2.33 Accuracy, h 0.03 Results Sample size 1333.70 Confidence 2.39%\begin{array}{|l|r|}\hline \text { Proportion, p } & 0.67 \\\hline \text { z-value } & \\ \text { confidence) } &2.33 \\\hline \text { Accuracy, h } & 0.03 \\\hline & \\\hline \text { Results } & \\\hline \text { Sample size } & 1333.70 \\\hline \text { Confidence } & 2.39 \%\\\hline\end{array} Proportion, p z-value confidence) Accuracy, h Results Sample size Confidence 0.672.330.031333.702.39% b.
Proportion, p 0.31 z-value confidence) 2.33 Accuracy, h 0.03 Results Sample size 1290.27 Confidence 2.39%\begin{array}{|l|r|}\hline \text { Proportion, p } & 0.31 \\\hline \text { z-value } & \\ \text { confidence) } & \text { 2.33 } \\\hline \text { Accuracy, h } & 0.03 \\\hline & \\\hline \text { Results } & \\\hline \text { Sample size } & 1290.27 \\\hline \text { Confidence } & 2.39 \%\\\hline\end{array} Proportion, p z-value confidence) Accuracy, h Results Sample size Confidence 0.31 2.33 0.031290.272.39%
Learning Objectives
- Determine the requisite number of samples for time studies to obtain targeted confidence levels and error margins.
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