Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 277 with a mean of 76.3 and a standard deviation of 21.3 at a confidence level of 95%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places

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### Estimating Population Proportion: Finding the Margin of Error

Assume that a sample is used to estimate a population proportion \( \mu \). Find the margin of error \( M.E. \) that corresponds to a sample of size 277, with a mean of 76.3 and a standard deviation of 21.3 at a confidence level of 95%.

**Instructions:**

1. **Report Margin of Error:** Report \( M.E. \) accurate to one decimal place because the sample statistics are presented with this accuracy.

   \[
   M.E. = \boxed{\phantom{0}}
   \]

2. **Precision in Calculation:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Transcribed Image Text:### Estimating Population Proportion: Finding the Margin of Error Assume that a sample is used to estimate a population proportion \( \mu \). Find the margin of error \( M.E. \) that corresponds to a sample of size 277, with a mean of 76.3 and a standard deviation of 21.3 at a confidence level of 95%. **Instructions:** 1. **Report Margin of Error:** Report \( M.E. \) accurate to one decimal place because the sample statistics are presented with this accuracy. \[ M.E. = \boxed{\phantom{0}} \] 2. **Precision in Calculation:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
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