(Solved): A total of 200,000 doctors belong to a particular medical association. A random sample of 350 of th ...

Expert Answer

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The margin of error for a survey depends on the desired confidence level and the sample size. Since the question states that the "quick method" is used to estimate the margin of error, we can assume a 95% confidence level, which is commonly used.

To estimate the margin of error using the quick method, we can use the formula:

Margin of Error = Critical Value * (Standard Deviation / Square Root of Sample Size)


Finite Population Correction Factor = Square Root of [(Population Size - Sample Size) / (Population Size - 1)]

In this case, the finite population correction factor is:

Finite Population Correction Factor = Square Root of [(200,000 - 350) / (200,000 - 1)]

? Square Root of (199,650 / 199,999) ? 0.99975

Applying the finite population correction factor to the critical value, we get:

Adjusted Critical Value = 1.96 * 0.99975 ? 1.959

Now, we can calculate the margin of error using the adjusted critical value:

Margin of Error = 1.959 * (Standard Deviation / Square Root of Sample Size)



Since we don't have information about the standard deviation, it's impossible to provide an exact margin of error. Therefore, the correct answer is: It’s impossible to answer this question without more information.