Sampling for Surveys-Quiz 3
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1. Which of the following statements is true about margin of error? (Choose all that apply) *
1 point
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2. Which of the following statements is true about the standard error? (Choose all that apply) *
1 point
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3. At which value of the population parameter is the variance in a binary variable maximized? *
1 point
4. Suppose that you wanted to estimate the fraction of children who have a learning disability in this population. How many children should you sample such that your estimate has a margin of error of +/- 4 percentage points, assuming a 95% confidence interval? Assume SRS, and use a conservative assumption about the standard deviation calculation. Round up to the nearest integer. *
1 point
5. Now double the sample size from your previous answer. What is the approximate margin of error now, assuming a 95% CI? Report your answer in terms of percentage points, and round to the nearest 0.1 (only enter the number, not "+/-" or "p.p."). *
1 point
6. In Q4 we made an assumption about the prevalence of learning disabilities to make our sd calculation conservative. Let’s make a less conservative assumption: suppose that we expect the prevalence of learning disabilities in the population to be 10%. Now how many children should you sample such that your estimate has a margin of error of +/- 4 percentage points, assuming a 95% confidence interval? Round up to the nearest integer. *
1 point
7. Suppose that you wanted to estimate the average test score of students in your population. How many children should you sample such that your estimate has a margin of error of +/- 0.05 standard deviations, assuming a 95% CI? Still assume SRS, and round up to the nearest integer. *
1 point
8. Suppose that you wanted to estimate average test score, with a margin of error of +/- 0.5 points on the test, assuming a 95% CI. Assume that test scores will be similarly distributed to baseline test scores for students in the EG DIB dataset (variable total_bl). How many children should you sample? Still assume SRS, and round up to the nearest integer. *
1 point
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