Homework Help is Here – Start Your Trial Now!
Math
Statistics
What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁

What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
100%
Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ <H₂ C. Ho: ₁ = ₂ H₁ H₁ H₂ H₂ H₁ H₁ H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H1 H₂ H₁: H₁ H₂ The test statistic, t, is D. Ho: H₁ A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OD. Fail to reiect the null hypothesis There is sufficient evidence to
Transcribed Image Text:Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ <H₂ C. Ho: ₁ = ₂ H₁ H₁ H₂ H₂ H₁ H₁ H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H1 H₂ H₁: H₁ H₂ The test statistic, t, is D. Ho: H₁ A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OD. Fail to reiect the null hypothesis There is sufficient evidence to
→ O O O о о Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Response Summary Statistics Background μl Blue Red The Lost Statistic The P-value is Print n X H₁ 47 4.36 H₂ 50 3.85 Done S 0.63 0.85 hd to the commar places as they State the conclusion for the test. (Round to three decimal places as needed.) X O A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OD. Fail to reiect the null hypothesis There is sufficient evidence to
Transcribed Image Text:→ O O O о о Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Response Summary Statistics Background μl Blue Red The Lost Statistic The P-value is Print n X H₁ 47 4.36 H₂ 50 3.85 Done S 0.63 0.85 hd to the commar places as they State the conclusion for the test. (Round to three decimal places as needed.) X O A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OD. Fail to reiect the null hypothesis There is sufficient evidence to
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
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