Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the...

Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the sample size. Since they haven't run the study yet it is common practice to approximate the sample proportion as 50% since this is the worst-case scenario.

The calculation to find the sample size will likely give a decimal answer so be sure to round appropriately so that the actual margin of error will be less than what the researchers want.

(a) If researchers decide on a 4.8% margin of error for a 95% confidence interval. What sample size should they pursue?

(b) If researchers decide on a 2.1% margin of error for a 99% confidence interval. What sample size should they pursue?

Hint: Whole number of people, not fractional people. Round up.

Jun 10, 2022

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Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the...

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