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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 372 positive signs, 311 negative signs, and 33 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? O A. Ho: 1₁ 212 H₁: 1₁ <12 OC. Ho: 1₁1¹1₂ H₁:1₁ <1₂ O B. Ho: 11₁ 112 H₁:1₁ #12 O D. Ho: 11₁ 11₂ H₁:1₁=171₂ 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? O A. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. O B. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O D. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference.

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 372 positive signs, 311 negative signs, and 33 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? O A. Ho: 1₁ 212 H₁: 1₁ <12 OC. Ho: 1₁1¹1₂ H₁:1₁ <1₂ O B. Ho: 11₁ 112 H₁:1₁ #12 O D. Ho: 11₁ 11₂ H₁:1₁=171₂ 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? O A. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. O B. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O D. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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 372 positive signs, 311 negative signs, and 33 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? O A. Ho: 1₁ 212 H₁: 1₁ <12 OC. Ho: 1₁1¹1₂ H₁:1₁ <1₂ O B. Ho: 11₁ 112 H₁:1₁ #12 O D. Ho: 11₁ 11₂ H₁:1₁=171₂ 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? O A. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. O B. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O D. Since the P-value is less 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 372 positive signs, 311 negative signs, and 33 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? O A. Ho: 1₁ 212 H₁: 1₁ <12 OC. Ho: 1₁1¹1₂ H₁:1₁ <1₂ O B. Ho: 11₁ 112 H₁:1₁ #12 O D. Ho: 11₁ 11₂ H₁:1₁=171₂ 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? O A. Since the P-value is greater than the significance level, fail to reject the null hypothesis of no difference. O B. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O C. Since the P-value is greater than the significance level, reject the null hypothesis of no difference. O D. Since the P-value is less than the significance level, fail to reject the null hypothesis of no difference.
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