Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans t Internet result in 350 positive signs, 319 negative signs, and 36 ties when the value of the second variable from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are and alternative hypotheses? OA. Ho: n₁ = 12 H₁: 1₁ #12 = O B. Hon -n2 H₁: 1₁ <12

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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 350 positive signs, 319 negative signs, and 36 ties when the value of the second variable is subtracted
from the corresponding value of the first variable. Use the sign test with a 0.05 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?
OA. Ho: n₁ = 12
H₁: 1₁ #1₂
OC. Ho: 1₁2 112
H₁: 1₁ <1₂
Find the test statistic.
Test statistic =
Find the P-value.
(Round to two decimal places as needed.)
P-value= (Round to four decimal places as needed.)
Does the null hypothesis of no difference hold?
B. Ho: 1₁ = 12
H₁: 1₁ <12
O D. Ho: 1₁ #12
H₁:1₁ =1₂
OA. Since the P-value is less than the significance level, fail to 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, 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 350 positive signs, 319 negative signs, and 36 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 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? OA. Ho: n₁ = 12 H₁: 1₁ #1₂ OC. Ho: 1₁2 112 H₁: 1₁ <1₂ Find the test statistic. Test statistic = Find the P-value. (Round to two decimal places as needed.) P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? B. Ho: 1₁ = 12 H₁: 1₁ <12 O D. Ho: 1₁ #12 H₁:1₁ =1₂ OA. Since the P-value is less than the significance level, fail to 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, 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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