Question

The following sequence of 33 consecutive data values was collected. This sequence was found to contain sixteen 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.

101000101100110110111100000101101

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?

• There is not sufficient evidence to warrant rejection of the claim that the order of this sequence is random.
• There is sufficient evidence to warrant rejection of the claim that the order of this sequence is random.
• There is not sufficient evidence to support the claim that the order of this sequence is random.
• There is sufficient evidence to support the claim that the order of this sequence is random.

Answer 1

Dear student we have two test to check randomness of the given sequence. First one is a run test using run randomness table to find out the critical region and other test is standard normal test. To answer your question it is only need to to construct run test using run randomness table but I also provide the normal test too... Dear if you satisfied then please thumbs up... Answers are provided as images...