Question

The following sequence of 28 consecutive data values was collected. This sequence was found to contain...

The following sequence of 28 consecutive data values was collected. This sequence was found to contain ten 0's and eighteen 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.

0111011110001101100101111101

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 ran

Homework Answers

Answer #1

a) The test statistic is given by:

, where R is the number of runs, is the expected number of runs and SR is the standard deviation of the number of runs. and SR is given as:

. Here n1 and n2 denote the number of positive and negative values in the series. Thus =13.857 and SR = 2.376. Now the number of runs here is 14. Thus the test statistic is  0.06

b) The critical values at a level of significance of 0.05 are (-1.96, 1.96)

c) The conclusion of the test is:

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

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following sequence of 33 consecutive data values was collected. This sequence was found to contain...
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...
The following sequence of 26 consecutive data values was collected. This sequence was found to contain...
The following sequence of 26 consecutive data values was collected. This sequence was found to contain fourteen 0's and twelve 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. 01011100101100100100110100 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...
The following sequence of 31 consecutive data values was collected. This sequence was found to contain...
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...
The following sequence of 32 consecutive data values was collected. This sequence was found to contain...
The following sequence of 32 consecutive data values was collected. This sequence was found to contain fifteen 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. 00011101011000110011111111010000 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...
Runs Test/G: Consider the following sequence: DDD EE DDD EE DD E DD EEE DD E...
Runs Test/G: Consider the following sequence: DDD EE DDD EE DD E DD EEE DD E DDDD EEEEE DD With a 0.05 significance level, we wish to test the claim that the above sequence was produced in a random manner. Answer each of the following questions (a) The null hypothesis H0 is given by A. Median=0 B. ρ=0 C. The data are in a random order D. The data are in an order that is not random E. β=0 F....
Consider the following sequence: BBB GG BBB GG BB G BB GGG BB G BBBB GGGGG...
Consider the following sequence: BBB GG BBB GG BB G BB GGG BB G BBBB GGGGG BB With a 0.05 significance level, we wish to test the claim that the above sequence was produced in a random manner. Answer each of the following questions (a) The null hypothesis H0H0 is given by A. The data are in a random order B. ρ=0ρ=0 C. G=0G=0 D. The data are in an order that is not random E. n1=n2n1=n2 F. β=0β=0 G....
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results...
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a​ Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th:   Friday the 13th: 10 14 5 11...
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results...
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a​ Friday, the numbers of hospital admissions from motor vehicle crashes are not affected Friday the 6th: Friday the 13th: 9 14 7 14...
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results...
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a​ Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th:   Friday the 13th: 10 14 6 12...
Identify the P-VALUE in a hypothesis test of the following claim and sample data: Claim: "The...
Identify the P-VALUE in a hypothesis test of the following claim and sample data: Claim: "The average annual household income in Warren County is $47,500." A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level. a. 0.013 b. 0.015 c. 0.030 d. 0.027 Identify the CONCLUSION of a hypothesis test of the following claim and sample...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT