Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 339 positive signs, 379 negative signs, and 40 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Let , denote the median of the first variable and no denote the median of the second variable. What are the null and alternative hypotheses? OA H₂:₂ H₂₁:1₁ =1₂ OC. H₂:₁ H₂:₁ <1₂ Find the test statistic Test statistic (Round to two decimal places as needed.) Find the P-value P-value = (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? OA. Since the P-value is less than the significance level, reject the null hypothesis of no difference. OB. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. OC. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference. OD. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. OB. H₂:₁ ₂ H₂:₁ <1₂ OD. H₂: ₁1₂ H₂:1₁ #1₂
Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 339 positive signs, 379 negative signs, and 40 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Let , denote the median of the first variable and no denote the median of the second variable. What are the null and alternative hypotheses? OA H₂:₂ H₂₁:1₁ =1₂ OC. H₂:₁ H₂:₁ <1₂ Find the test statistic Test statistic (Round to two decimal places as needed.) Find the P-value P-value = (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? OA. Since the P-value is less than the significance level, reject the null hypothesis of no difference. OB. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. OC. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference. OD. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. OB. H₂:₁ ₂ H₂:₁ <1₂ OD. H₂: ₁1₂ H₂:1₁ #1₂
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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Transcribed Image Text:Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 339 positive signs, 379 negative signs, and 40 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference.
Let \( n_1 \) denote the median of the first variable and \( n_2 \) denote the median of the second variable. What are the null and alternative hypotheses?
A. \( H_0: n_1 \neq n_2 \)
\( H_1: n_1 = n_2 \)
B. \( H_0: n_1 = n_2 \)
\( H_1: n_1 < n_2 \)
C. \( H_0: n_1 = n_2 \)
\( H_1: n_1 \neq n_2 \)
D. \( H_0: n_1 = n_2 \)
\( H_1: n_1 > n_2 \)
Find the test statistic.
Test statistic = □ (Round to two decimal places as needed.)
Find the P-value.
P-value = □ (Round to four decimal places as needed.)
Does the null hypothesis of no difference hold?
A. Since the P-value is less than the significance level, reject the null hypothesis of no difference.
B. Since the P-value is greater than the significance level, reject the null hypothesis of no difference.
C. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference.
D. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference.
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