**Understanding Hypothesis Testing: Key Concepts****1. Interpreting the Null Hypothesis (H0)**When analyzing hypothesis tests, interpreting the results often involves understanding whether to reject or fail to reject the null hypothesis. Here are key conclusions when the null hypothesis is rejected:- **A. Alternative Hypothesis Validity:** - If the null hypothesis is rejected, there is sufficient statistical evidence to infer that the alternative hypothesis is true.- **B. Insufficient Evidence for Alternative:** - This conclusion states there is not enough statistical evidence to infer the alternative hypothesis is true, but is incorrect if the null hypothesis is rejected.- **C. Statistical Significance:** - Incorrect in this context, as rejecting H0 indicates statistical significance.- **D. Evidence for Null Hypothesis:** - Incorrect conclusion if H0 is rejected, indicating a lack of support for the null hypothesis being true.**2. p-value Interpretation in Hypothesis Testing**The p-value assists in determining the strength of evidence against the null hypothesis. In a given hypothesis test scenario:- The null hypothesis can be rejected at the 0.10 and 0.05 levels of significance but not at the 0.01 level. Therefore, the most accurate statement about the p-value is: - **A. 0.01 < p-value < 0.05:** - Indicates the rejection of H0 at 0.05 but not at the more stringent 0.01 level.- Other Options: - **B. 0.05 < p-value < 0.10** - **C. p-value = 0.01** - **D. p-value = 0.10**These concepts are crucial in understanding how statistical evidence influences the acceptance or rejection of hypotheses in data analysis and research.

The null hypothesis is rejected.

Answered: IT we reject the huil hypothesis, we c…

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

A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: p = 0.3 Ha: p 0.3. What type of test is being conducted in this problem? OA. Two-tailed test OB. Left-tailed test OC. Right-tailed test Save
Can you help me please
If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
65
A hypothesis test is performed at significance level a=0.05: The p-value is found to be 0.001. What can we conlcude? O Our dataset and statistical test proves that the null hypothesis it true. O The statistical test in inconclusive, and the dataset is neither evidence for or against any hypothesis. O none of these O Our dataset and statistical test leads us to believe the null hypothesis is true, but we cannot say for sure. Our dataset is evidence in support of the null hypothesis. O Our dataset and statistical test leads us to reject the null hypothesis. Our data is statistically significant evidence against the null hypothesis. O Our dataset and statistical test proves that the null hypothesis it false.
In a given hypothesis test, the null hypothesis can be rejected at the 0.10 and the 0.05 level of significance, but cannot be rejected at the 0.01 level. The most accurate statement about the ?−p−value for this test is: A. ?-value=0.10p-value=0.10 B. 0.01<?-value<0.050.01<p-value<0.05 C. 0.05<?-value<0.100.05<p-value<0.10 D. ?-value=0.01p-value=0.01
The Department of Health plans to test the lead level in a specific park. Because a high lead level is harmful to children, the park will be closed if the lead level exceeds the allowed limit. The department randomly selects several locations in the park, gets soil samples from those locations, and tests the samples for their lead levels. Write the correct null hypothesis (H_O) for this problem. * Your answer Write the correct alternative hypothesis for this problem. * Your answer Which of the following decisions would result from the Type I error? * None of these Keeping the park open when the lead levels are in excess of the allowed limit. Closing the park when the lead levels are in excess of the allowed limit Closing the park because of the increased noise level in the neighborhood Keeping the park open when the lead levels are within the allowed limit
All test of hypothesis are based on the assumptions that A. The null hypothesis is true B. The observed difference is important c. The null hypothesis is false and should be rejected D. Type l errors are more serious than type ll errors E. None of the above
For each scenario below read the given null and alternative hypotheses statements as well as the initial decision about the null hypothesis. Post a conclusion about the claim in each test. (This means when you post your answer, you do not need to include any statement about the null hypothesis. Only the final conclusion is needed.) **Chart 1 is attached** 1 Winning team data were collected for teams in different spots. use a .05 level of significance to test the claim that home/visitor wins are independent of the sport. **Table 1 is attached** P-Value=0.762
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: р = 0.8 p0.8 What type of test is being conducted in this problem? A. Left-tailed test B. Two-tailed test C. Right-tailed test
Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 78. You randomly sample 15 measurements from the population and determine that 10 of them exceed 78. Set up and conduct the appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis test? A. Ho: n = 78 Ha: 178 C. Ho: n=10 Ha:n> 10 Ε. Ηρ:η=78 Ha:n78 Ho: n=10 Hg: η < 10 OF. Ho: n = 10 Ha: 110
Which of these is true regarding hypothesis tests? If the P-value is less than the specified alpha level, the null is accepted If the P-value is less than the specified alpha level, the null is rejected in favor of the alternative If the P-value is greater than the specified alpha level, the alternative is accepted none of these statements is true If the P-value is greater than the specified alpha level, the null is rejected in favor of the alternative

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