Question

The following sequence of 31 consecutive data values was collected. This sequence was found to contain fourteen 0's and seventeen 1's. Conduct a runs test for randomness for this sequence at the 0.05 significance level, and test the claim that the order of this sequence is random.

1111011001101001100110110110000

Round your answers to 3 places after the decimal point, if necessary.

(a) Find the value of the test statistic.

     Test statistic's value:

(b) Find the critical values. List both critical values in the answer box with a comma between them.

     Critical values:

(c) What is the correct conclusion of this test?

• a) There is not sufficient evidence to warrant rejection of the claim that the order of this sequence is random.
• b) There is sufficient evidence to warrant rejection of the claim that the order of this sequence is random.
• c) There is not sufficient evidence to support the claim that the order of this sequence is random.
• d) There is sufficient evidence to support the claim that the order of this sequence is random.

Answer 1

(c) option d is correct as there is sufficient evidence to support the claim that the order of this sequence is random.