A local school board believes there is a difference in the proportion of households with school-aged childrenthat would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40households with school-aged children about whether they would support starting the school year a weekearlier, and 38 households respond yes. They survey a random sample of 45 households that do not haveschool-aged children, and 25 respond yes. Let p3= the true proportion of households with school-agedchildren that would support starting the school year a week early and pw= the true proportion of householdswithout school-aged children that would support starting the school year a week earlier. The P-value for thissignificance test is 0.000034. Which of the following is the correct conclusion for this test of the hypothesesHo: P;- Pw=0 and H, P,- Pw0 at the a = 0.05 level?O The local school board should reject the null hypothesis since 0.000034 < 0.05. There is sufficient evidencethat the true proportion of households with school-aged children that would support starting the school yeara week early is significantly different from the true proportion of households without school-aged children.O The local school board should reject the null hypothesis since 0.000034 < 0.05. There is insufficientevidence that the true proportion of households with school-aged children that would support starting theschool year a week early is significantly different from the true proportion of households without school-agedchildren.O The local school board should fail to reject the null hypothesis since 0.000034 < 0.05. There is sufficientevidence that the true proportion of households with school-aged children that would support starting theschool year a week early is significantly different from the true proportion of households without school-agedchildren.O The local school board should fail to reject the null hypothesis since 0.000034 < 0.05. There is insufficientevidence that the true proportion of households with school-aged children that would support starting theschool year a week early is significantly different from the true proportion of households without school-agedchildren.

It is given that P-value = 0.000034 Level of significance = 0.05

Answered: without school-aged children that would…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The test statistic of z = 2.47 is obtained when testing the claim that p > 0.8. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
Use the following information to answer the question. A random sample of 30 students from UCSC are selected from a normal population with mu equal to 10 and sigma equal to 7. After a treatment is administered to the students, the researcher calculated the sample mean to be 13. Is there enough evidence to conclude that the treatment had an increasing effect at the 5% significance level? What hypothesis test is this? Chi-Square Test for Independence Two-Sample Z-Test for Mean One-Sample Z-Test for Mean One-Sample T-Test for Mean
1
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: u= 40; a=0.09; o = 3.12. Sample statistics: x = 39.1, n= 68 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H= 40 H: u#40 O B. Ho: u=40 H3: u 40 H2: u = 40 O E. Ho: H> 40 Ha: u= 40 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical values are +. O B. The critical value is Determine the outcome and conclusion of the test. Choose the correct answer below. O A. Fail to reject Ho. At the 9% significance level, there is not enough evidence to support the claim. O B. Reject Ho. At the 9% significance level, there i enough evidence to reject the claim Click to select your answer(s). MacBook…
The test statistic of z=2.55 is obtained when testing the claim that p≠0.753. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.05, should we reject H0 or should we fail to reject H0?
You wish to test the following claim (Ha) at a significance level of a 0.001. Ho: P₁ = P2 Ha: P₁ > P2 You obtain 45.9% successes in a sample of size n₁ = 573 from the first population. You obtain 42.3% successes in a sample of size n₂ = 317 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =
Find the P-value for a left-tailed hypothesis test with a test statistic of z = - 1.55. Decide whether to reject Ho if the level of significance is a=0.05. P-value = (Round to four decimal places as needed.)
You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: P₁= P2 Ha: P₁ P2 You obtain 69% successes in a sample of size n₁ = 641 from the first population. You obtain 78.7% successes in a sample of size n₂ = 342 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =
The test statistic of z=1.32 is obtained when testing the claim that p≠0.793. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α=0.10, should we reject Ho or should we fail to reject Ho? This is a test. P-value= (Round to three decimal places as needed.) Choose the correct conclusion below. Reject Ho. There is not sufficient evidence to support the claim that p≠ 0.793. Fail to reject Ho. There is sufficient evidence to support the claim that p≠ 0.793. Reject Ho. There is sufficient evidence to support the claim that p≠ 0.793. Fail to reject Ho. There is not sufficient evidence to support the claim that p≠ 0.793.
Find the P-value for a left-tailed hypothesis test with a test statistic of z=−1.96. Decide whether to reject H0 if the level of significance is α=0.05.
The test statistic of z= 1.22 is obtained when testing the claim that p>0.3. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject Ho or should we fail to reject Ho? a. This is a test. b. P-value = (Round to three decimal places as needed.) c. Choose the correct conclusion below. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.3. OB. Reject Ho. There is sufficient evidence to support the claim that p>0.3. OC. Reject Ho. There is not sufficient evidence to support the claim that p>0.3. OD. Fail to reject Ho. There is sufficient evidence to support the claim that p > 0.3.
The test statistic of z=1.50 is obtained when testing the claim that p≠0.427. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0? I am stuck on 2

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

without school-aged children that would support starting the school year a week earlier. The P-value for this significance test is 0.000034. Which of the following is the correct conclusion for this test of the hypotheses Hoi P,-Pw =0 and H; P,-Pm #0 at the a = 0.05 level?