Test the Following Sequence for Randomness at α = 0

question 27

Multiple Choice

Test the following sequence for randomness at α = 0.05.
A A A A B B B A A A B B
Table of Critical Values for the Number of Runs, α = 0.05
Value of
N₁
Value of n₂
4
5
6
7
6
2
9
3
10
3
11
3
12
7
2
10
3
11
3
12
3
13
8
3
10
3
11
3
12
4
13

• A) Do not reject the hypothesis that the sequence is random, because the test value 4 is between the critical values 3 and 11.
• B) Do not reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 10.
• C) Do not reject the hypothesis that the sequence is random, because the test value 5 is outside the critical values 3 and 12.
• D) Reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 11.

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