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Need help with: What is the P Value= Compare the p value with the level of significance Draw a conclusion based on the hypothesis test

Need help with: What is the P Value= Compare the p value with the level of significance Draw a conclusion based on the hypothesis test

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
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  1. What is the P Value=
  2. Compare the p value with the level of significance
  3. Draw a conclusion based on the hypothesis test
The data table represents the measure of a variable before and after a treatment. Does the sample evidence suggest that the treatment is effective in decreasing the value of the response variable? Use the \(\alpha = 0.01\) level of significance. Complete parts (a) through (d). | Individual | Before, \(x_i\) | After, \(y_i\) | |------------|----------------|---------------| | 1 | 39 | 36 | | 2 | 31 | 35 | | 3 | 51 | 48 | | 4 | 47 | 49 | | 5 | 37 | 35 | (a) What type of test should be used? Choose the correct answer below. - A. A hypothesis test regarding two population standard deviations. - B. A hypothesis test regarding the difference of two means using Welch's approximate t. - C. A hypothesis test regarding the difference of two means using a matched-pairs design. (Correct) - D. A hypothesis test regarding the difference between two population proportions from independent samples. (b) Determine the null and alternative hypotheses. Let \(\mu_d = \mu_X - \mu_Y\). Choose the correct answer below. - A. \(H_0: \mu_d = 0; H_1: \mu_d \neq 0\) - B. \(H_0: \mu_d = 0; H_1: \mu_d < 0\) - C. \(H_0: \mu_d \neq 0; H_1: \mu_d > 0\) - D. \(H_0: \mu_d = 0; H_1: \mu_d > 0\) (Correct) (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
Transcribed Image Text:The data table represents the measure of a variable before and after a treatment. Does the sample evidence suggest that the treatment is effective in decreasing the value of the response variable? Use the \(\alpha = 0.01\) level of significance. Complete parts (a) through (d). | Individual | Before, \(x_i\) | After, \(y_i\) | |------------|----------------|---------------| | 1 | 39 | 36 | | 2 | 31 | 35 | | 3 | 51 | 48 | | 4 | 47 | 49 | | 5 | 37 | 35 | (a) What type of test should be used? Choose the correct answer below. - A. A hypothesis test regarding two population standard deviations. - B. A hypothesis test regarding the difference of two means using Welch's approximate t. - C. A hypothesis test regarding the difference of two means using a matched-pairs design. (Correct) - D. A hypothesis test regarding the difference between two population proportions from independent samples. (b) Determine the null and alternative hypotheses. Let \(\mu_d = \mu_X - \mu_Y\). Choose the correct answer below. - A. \(H_0: \mu_d = 0; H_1: \mu_d \neq 0\) - B. \(H_0: \mu_d = 0; H_1: \mu_d < 0\) - C. \(H_0: \mu_d \neq 0; H_1: \mu_d > 0\) - D. \(H_0: \mu_d = 0; H_1: \mu_d > 0\) (Correct) (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
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