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6. A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 256 treated subjects experienced headaches (based on data from the manufacturer). Test the claim that less than 12% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e). a. Is the test two-tailed, left-tailed or right-tailed? D A. Right tailed test O B. Left-tailed test O C. Two-tailed test b. What is the test statistic? Z = c. What is the P-value? P-value = d. What is the null hypothesis, and what do you conclude about it? DA. Ho:p = 0.12 OB. Ho:p < 0.12 O C. Ho:p + 0.12 OD. Ho:p > 0.12 Decide whether to reject to null hypothesis. Choose the correct answer below. D A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OB. Reject the null hypothesis because the P-value is greater than the significance level, a. O C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? DA. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O C. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. OD. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches.

6. A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 256 treated subjects experienced headaches (based on data from the manufacturer). Test the claim that less than 12% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e). a. Is the test two-tailed, left-tailed or right-tailed? D A. Right tailed test O B. Left-tailed test O C. Two-tailed test b. What is the test statistic? Z = c. What is the P-value? P-value = d. What is the null hypothesis, and what do you conclude about it? DA. Ho:p = 0.12 OB. Ho:p < 0.12 O C. Ho:p + 0.12 OD. Ho:p > 0.12 Decide whether to reject to null hypothesis. Choose the correct answer below. D A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OB. Reject the null hypothesis because the P-value is greater than the significance level, a. O C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? DA. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O C. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. OD. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches.

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
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In a clinical trial for an asthma treatment, 25 out of 256 treated subjects reported headaches, according to manufacturer data. The goal is to test if fewer than 12% of treated subjects experience headaches, using a 0.05 significance level. The normal distribution will approximate the binomial distribution for this hypothesis test. Answer the following: **a. Type of Test (One-tailed or Two-tailed):** - Options: - A. Right-tailed test - B. Left-tailed test - C. Two-tailed test **b. Test Statistic:** - z = ___________ **c. P-value:** - P-value = ___________ **d. Null Hypothesis and Conclusion:** - Options for Null Hypothesis (\(H_0\)): - A. \(H_0: p = 0.12\) - B. \(H_0: p < 0.12\) - C. \(H_0: p \neq 0.12\) - D. \(H_0: p > 0.12\) - Decision: - □ A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\). - □ B. Reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\). - □ C. Reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\). - □ D. Fail to reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\). **e. Final Conclusion:** - Options: - □ A. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. - □ B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. - □ C. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. - □ D. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches.
Transcribed Image Text:In a clinical trial for an asthma treatment, 25 out of 256 treated subjects reported headaches, according to manufacturer data. The goal is to test if fewer than 12% of treated subjects experience headaches, using a 0.05 significance level. The normal distribution will approximate the binomial distribution for this hypothesis test. Answer the following: **a. Type of Test (One-tailed or Two-tailed):** - Options: - A. Right-tailed test - B. Left-tailed test - C. Two-tailed test **b. Test Statistic:** - z = ___________ **c. P-value:** - P-value = ___________ **d. Null Hypothesis and Conclusion:** - Options for Null Hypothesis (\(H_0\)): - A. \(H_0: p = 0.12\) - B. \(H_0: p < 0.12\) - C. \(H_0: p \neq 0.12\) - D. \(H_0: p > 0.12\) - Decision: - □ A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\). - □ B. Reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\). - □ C. Reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\). - □ D. Fail to reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\). **e. Final Conclusion:** - Options: - □ A. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. - □ B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. - □ C. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. - □ D. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches.
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