**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

Pavan
Determine the critical value, zo, to test the claim about the population proportion p20.132 given n= 48 and p 0.110. Use a=0.05. O A. - 1.645 OB. -1.96 C. - 2.575 O D. -2.33 Click to select your answer. Dec 04, 2009 Compute the value of the test statistic? | Yahoo Answers 0 0 9 G Type here to search
please answer d, e, f
-Find the correct null hypothesis and for each correct alternative hypothesis 3. Suppose you hear a claim that the average score on a national exam is 78. You think the average is higher than that. Set up your null and alternative hypotheses.
A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years is 110.4. Suppose that we want to sample a small number of this year's entering students and carry out a hypothesis test to see if the professor's statement can be supported. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0= H1=
Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1995, the average math SAT score for students at one school was 486. Five years later, a teacher wants to perform a hypothesis test to determine whether olo the average math SAT score of students at the school has changed from the 1995 mean of 486. The hypotheses are: H,:u=486 Hu#486 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1995 mean of 486. O Type II error O Correct decision O Type I error Continue Submit Assignment O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility MacBook Air 80 888 DD F1 F2 F3 F4 F5 F6 F7 FB F9 F10 F11 F12 #3 3 @ $ & * 1 2 4 5 8 9 %3D
Select the appropriate null and alternative hypothesis for the following research question: People who see therapists have lower depression scores than people who do not see therapists? xbar1 = the average depression score for people who see a therapist xbar2 = the average depression score for people who do not see a therapist O Null Hypothesis: People who see a therapist have depression scores lower than or equal to people who do not see a therapist i.e. xbar1 xbar2 O Null Hypothesis: People who see a therapist have depression scores higher than or equal to people who do not see a therapist i.e. xbar1 >= xbar2 Alternative Hypothesis: People who see a therapist have depression scores lower than people who do not see a therapist i.e. xbar1 < xbar2
We are comparing two samples during a hypothesis test. Sample A has a z-test statistic of 1.58 and sample B has a z-test statistic of -0.34. We can say then that... If H-naught is true, then Sample B has a higher probability of occurring while Sample A has a lower probability of occurring. If H-naught is true, then Sample A has a higher probability of occurring while Sample B has a lower probability of occurring. We reject the null hypothesis. If H-naught is rejected, then Sample A has a higher probability of occurring while Sample B has a lower probability of occurring.
-Find the correct null hypothesis and for each correct alternative hypothesis 7. Suppose you hear a claim that the average score on a national exam is 78. You think the average is higher than that, and your sample of 100 students produces an average of 75. What are the null and alternative hypotheses?
A cookie company has announced that they average 1000 chocolate chips in their cookie packages. Looking to make some quick money, an enterprising statistics student is hoping they may be able to find evidence that this claim is untrue. If the student can provide sufficient evidence that the average number of chocolate chips in a cookie package is less than 1000 chips, they may have grounds to sue the company. For the situation, state the null and alternative hypotheses. If the results of the test are statistically significant, what does that mean regarding the null hypothesis (do we reject the null or fail to reject the null)? Explain what this means using specific words from the context of the problem. If the results of the test are NOT statistically significant, what does that mean regarding the null hypothesis (do we reject the null or fail to reject the null)? Explain what this means using specific words from the context of the problem.
Please assist with question I am lost
If the conclusion in a hypothesis test is to fail to reject H0H0, we can conclude that there is strong evidence that the null hypothesis is true.

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