12.4 worksheet mathematics
1 answer:
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Answer: 151
Step-by-step explanation:
if prior population proportion is unknown , then the formula is used to find the sample size :
, where = Two tailed critical value for significance level of
E = Margin of error.
Given : margin of error = 8%= .08
For 95% confidence level , two tailed critical value = 1.96
Now, the required sample size :
Hence, the size of the sample needed = 151.
Using the Pythagorean theorem we get:
Simplifying the above result we get:
Subtracting 64 from the above equation we get:
Therefore:
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