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 304 positive signs, 278 negative signs, and 35 ties when the value of the secon variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the null and alternative hypotheses? O A. Ho: 1₁2 112 H₁:1₁ <1₂ OC. Ho: 11₁ 112 H₁: 1₁ <12 O B. Ho: 11 #11₂ H₁:1₁ =1₂ O D. Ho: 111 112 H₁:1₁ #1₂ Find the test statistic. Test statistic = Find the P-value. P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? (Round to two decimal places as needed.) O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O B. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference. O D. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 304 positive signs, 278 negative signs, and 35 ties when the value of the secon
variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05
significance level to test the null hypothesis of no difference.
Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the
null and alternative hypotheses?
O A. Ho: 1₁2 112
H₁:1₁ <1₂
OC. Ho: 11₁ 112
H₁: 1₁ <12
O B. Ho: 11 #11₂
H₁:1₁ =1₂
O D. Ho: 111 112
H₁:1₁ #1₂
Find the test statistic.
Test statistic =
Find the P-value.
P-value= (Round to four decimal places as needed.)
Does the null hypothesis of no difference hold?
(Round to two decimal places as needed.)
O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference.
O B. Since the P-value is greater than the significance level, reject the null hypothesis of no difference.
O C. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference.
O D. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no
difference.
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 304 positive signs, 278 negative signs, and 35 ties when the value of the secon variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the null and alternative hypotheses? O A. Ho: 1₁2 112 H₁:1₁ <1₂ OC. Ho: 11₁ 112 H₁: 1₁ <12 O B. Ho: 11 #11₂ H₁:1₁ =1₂ O D. Ho: 111 112 H₁:1₁ #1₂ Find the test statistic. Test statistic = Find the P-value. P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? (Round to two decimal places as needed.) O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O B. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference. O D. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference.
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