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To find the correct critical value when calculating the sign test, you need to know:


One-tailed


One-tailed: The experimental hypothesis predicts a change in only one direction.

The following are critical values for one-tailed experiments with sample sizes (n) between 5-20 and p values of 0.1, 0.05, and 0.02.

n p = 0.1 p = 0.05 p = 0.02
5 0 0
6 1 0 0
7 1 0 0
8 1 1 0
9 2 1 1
10 2 1 1
11 3 2 1
12 3 2 2
13 3 3 2
14 4 3 2
15 4 3 3
16 5 4 3
17 5 4 4
18 6 5 4
19 6 5 4
20 6 5 5

Two-tailed


Two-tailed: The experimental hypothesis predicts a change in either direction.

The following are critical values for two-tailed experiments with sample sizes (n) between 5-20 and p values of 0.1, 0.05 and 0.02.

n p = 0.1 p = 0.05 p = 0.02
5 0
6 0 0
7 0 0 0
8 1 0 0
9 1 1 0
10 1 1 0
11 2 1 1
12 2 2 1
13 3 2 1
14 3 2 2
15 3 3 2
16 4 3 2
17 4 4 3
18 5 4 3
19 5 4 4
20 5 5 4

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