Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and contidence tevel Rout
confidence; the sample size is 800 , of which are successes
A. 0.0355
B. 0.0404
C. 0.0446
D. 0.0339

To find the margin of error E for the given sample statistics and confidence level, we can use the formula:

Where:

Calculating:

Thus, the margin of error E corresponds to option B. 0.0404.

In the world of statistics, understanding confidence intervals can be a game-changer! It’s a way to quantify uncertainty and gives you a range within which you are fairly confident your true population parameter lies. Data enthusiasts use this to ensure their findings are statistically robust and can even take it to tasks beyond sampling, like forecasting future trends.

When working with margins of error, be careful not to confuse sample proportions with population proportions. A common mistake is to mistakenly use actual population data instead of the sample data when calculating probabilities, which can skew your results. Always double-check you’re using the correct values to avoid errors in your estimates!