The following sequence of 29 consecutive data values was collected. This sequenc
ID: 3245444 • Letter: T
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