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What is the margin of error for 95% confidence for a sample of size 325 where p = 0.25

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Final answer:

The margin of error for a 95% confidence level with a sample size of 325 and an estimated proportion of 0.25 is 0.036.

Step-by-step explanation:

The margin of error for a 95% confidence level can be calculated using the formula:

Margin of Error = Zα/2 * sqrt((p*(1-p))/n)

Where:

  • Zα/2 is the critical value corresponding to the desired confidence level (for a 95% confidence level, Zα/2 = 1.96)
  • p is the estimated proportion (in this case, p = 0.25)
  • n is the sample size (325 in this case)

Substituting the values into the formula:

Margin of Error = 1.96 * sqrt((0.25 * (1-0.25))/325) = 0.036

Therefore, the margin of error for a 95% confidence level with a sample size of 325 and an estimated proportion of 0.25 is 0.036.

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