Asked by Daniel Sanchez on Jun 11, 2024

verifed

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.
verifed

Verified Answer

JB
Jirah BernalJun 17, 2024
Final Answer :
a.
 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%