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Anonymous dgaggzdsdsfgeda
wrote...
2 months ago
The proportion of public accountants who have changed companies within the last three years is to be estimated within 3%. The 99% level of confidence is to be used. A study conducted several years ago revealed that the percentage of public accountants changing companies within three years was 20.

To update this study, the files of how many public accountants should be studied? (Round the final answer to 2 decimal places.)
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Anonymous
wrote...
#1
2 months ago
This should help:

To determine how many public accountants should be studied to estimate the proportion who changed companies within the last three years (with a 3% margin of error and 99% confidence), we use the sample size formula for proportions:

n=z2⋅p⋅(1−p)E2

Given:
- Confidence level = 99% → z=2.576
- Estimated proportion (p) = 20% = 0.20 
- Margin of error (E) = 3% = 0.03 

Calculation: 
n=(2.576)2⋅0.20⋅(1−0.20)(0.03)2 
n=6.635776⋅0.20⋅0.800.0009 
n=1.061724160.0009≈1179.69 

Since partial responses aren’t possible, we round up to the next whole number. 

Final Answer: 
1180 

*Thus, 1,180 public accountants should be studied to achieve the desired precision.*
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