MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:For which of the following P-values will the null hypothesis be rejected when performing a test with a significance level of
0.05? (Select all that apply.)
(a) 0.0090
(b) 0.0270
(c) 0.0720
(d) 0.0490
(e) 0.1580
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 4 steps
Knowledge Booster
Similar questions
- Consider the following hypothesis test. H0: ? ≤ 25 Ha: ? > 25 A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.01, state your conclusion. Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to conclude that ? > 25. Do not reject H0. There is sufficient evidence to conclude that ? > 25.Do not reject H0. There is insufficient evidence to conclude that ? > 25. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤test statistic ≥ State your conclusion. Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to…arrow_forwardK Previously, 6.6% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 55 workers and finds that 10 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? Ho: ▼ versus H₁: (Type integers or decimals. Do not round.) Because npo (1-Po) (Round to one decimal place as needed.) Find the P-value. = 10, the normal model P-value= (Round to three decimal places as needed.) Is there sufficient evidence to support the economist's belief? 00 be used to approximate the P-value. OA. Yes, do not reject the null hypothesis. There is sufficient evidence because the P-value is greater than α. OB. No, do not reject the null hypothesis. There is not sufficient evidence because the P-value is greater than α. C. Yes, reject the null hypothesis. There is sufficient evidence because the…arrow_forwardWhich of the following is a misinterpretation of the results of a significance test? Choose the best asnwer below: A. concluding a P-value ≤ α implies a statistically significant result B. None of the above. C. deciding to fail to reject H0 because the P-value is larger than α D. concluding that the probability that H0 is true is equal to the P-value E. deciding to reject H0because the P-value is at most αarrow_forward
- The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. Which one of the following statements is true? Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average debt load is not equal to $17,000. Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average debt load is not equal to $17,000. Because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average debt load is equal to $17,000. Because the p-value is less than α, we reject the null hypothesis and conclude that the average debt load is equal to $17,000.arrow_forwardA certain magazine stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.1 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.1 seconds, what would you use for the null hypothesis? 04.1 O = 4.1 (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer Leadville (because of less oxygen). What would you use for the alternate hypothesis? OH 4.1 OM 4.1 O = 4.1 (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? OH> 4.1 O μ< 4.1 OH 4.1. (d) For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? O left; both O right; left O left; right O both; leftarrow_forwardYou wish to test the following claim (Hå) at a significance level of a Ho: P₁ = P2 Ha: P₁ P2 0.005. You obtain 10.2% successes in a sample of size ni 518 from the first population. You obtain 15.2% successes in a sample of size n₂ 269 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 =arrow_forward
- Suppose are running a study/poll about the proportion of men over 50 who regularly have their prostate examined. You randomly sample 81 people and find that 71 of them match the condition you are testing.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.87Ha:p≠0.87Calculate the test statistic, rounded to 3 decimal places.arrow_forwardYou wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data…arrow_forwardSuppose that you're running the following hypothesis test with a = 0.05 : H,:u= 2.00 H:u#2.00 a. If the population standard deviation is assumed to be 1.5, and a SRS of 25 observations yielded X = 2.57, then calculate the value of the test statistic that you would use to run this test. b. Determine the P-Value for the test statistic in part (a). c. Using the P-Value you calculated in part (b) state the Decision that you make about the null hypothesis. JUSTIFY YOUR DECISION.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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