The following sequence of 29 consecutive data values was collected. This sequenc

Question

The following sequence of 29 consecutive data values was collected. This sequence was found to contain sixteen 0's and thirteen 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 israndom.

11010011000000101000110111001

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

Explanation / Answer

Answer:

The following sequence of 29 consecutive data values was collected. This sequence was found to contain sixteen 0's and thirteen 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.

11010011000000101000110111001

Test

Null hypothesis

H: The order of the data is random

Alternative hypothesis

H: The order of the data is not random

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

One Sample Runs Test

Tails

2

median

0

n1

13

n2

16

mean

15.34482759

std dev

2.614719671

runs

15

tails

2

z-stat

0.131879371

p-value

0.895079705

p-exact

0.957652443

     Test statistic's value: 0.132

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

     Critical values: (-1.96, 1.96)

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

Answer: 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

Null hypothesis

H: The order of the data is random

Alternative hypothesis

H: The order of the data is not random

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