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Table 2 Margin of error* (95% confidence interval) according to sample size and prevalence of the condition

From: The methodology of population surveys of headache prevalence, burden and cost: Principles and recommendations from the Global Campaign against Headache

Sample size (n)

Prevalence of condition

50%

30%

10%

3%

1%

10

31.6

29.0

19.0

10.8

6.3

20

22.4

20.5

13.4

7.6

4.4

50

14.1

13.0

8.5

4.8

2.8

100

10.0

9.2

6.0

3.4

2.0

200

7.1

6.5

4.2

2.4

1.4

500

4.4

4.1

2.7

1.5

0.9

1,000

3.2

2.9

1.9

1.1

0.6

2,000

2.2

2.0

1.3

0.8

0.4

5,000

1.4

1.3

0.8

0.5

0.3

10,000

1.0

0.9

0.6

0.3

0.2

  1. *calculated as 2 standard deviations (SDs) of the prevalence where SD = √(prevalence*[1-prevalence]/n).