Homework Help is Here – Start Your Trial Now!
Math
Statistics
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by Step 2: Enter the test statistic. (Round to 3 decimal places.) • The p-value is the area under the curve to the left of the value of the test statistic. of two-comed. O One-tailed O Two-tailed Step 3: Shade the area. represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 0.2 X 0.1 G (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the made by the researcher. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. X

(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by Step 2: Enter the test statistic. (Round to 3 decimal places.) • The p-value is the area under the curve to the left of the value of the test statistic. of two-comed. O One-tailed O Two-tailed Step 3: Shade the area. represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 0.2 X 0.1 G (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the made by the researcher. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. X

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
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is the area under the curve to the left of the value of the test statistic. of two called. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 0.2 X 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the researcher. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. o Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks.
Transcribed Image Text:(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is the area under the curve to the left of the value of the test statistic. of two called. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 0.2 X 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the researcher. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. o Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks.
For a certain knee surgery, a mean recovery time of 9 weeks is typical. With a new style of physical therapy, a researcher claims that the mean recovery time, μ, is less than 9 weeks. In a random sample of 73 knee surgery patients who practiced this new physical therapy, the mean recovery time is 8.8 weeks. Assume that the population standard deviation of recovery times is known to be 0.9 weeks. Is there enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis and the alternative hypothesis H₁. Ho H₂:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 • The value of the test statistic is given by 6 The p-value is the area under the curve to the left of the value of the test statistic. of two-talled. o One-tailed o Two-tailed 0.2 H 0.1 0<0 000>0 020 0-0 0-0 X G
Transcribed Image Text:For a certain knee surgery, a mean recovery time of 9 weeks is typical. With a new style of physical therapy, a researcher claims that the mean recovery time, μ, is less than 9 weeks. In a random sample of 73 knee surgery patients who practiced this new physical therapy, the mean recovery time is 8.8 weeks. Assume that the population standard deviation of recovery times is known to be 0.9 weeks. Is there enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis and the alternative hypothesis H₁. Ho H₂:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal 0.3 • The value of the test statistic is given by 6 The p-value is the area under the curve to the left of the value of the test statistic. of two-talled. o One-tailed o Two-tailed 0.2 H 0.1 0<0 000>0 020 0-0 0-0 X G
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