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In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 110 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 29 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. ... a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ OB. Ho: P₁ = P₂ H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ = P₂ H₁: P₁ P₂ OD. Ho: P₁ P2 OE. Ho: P₁ = P₂ H₁: P₁ P₂ OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁ P2 Identify the test statistic. Round to two decimal as needed. Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits Because the confidence interval limits include values, it appears that the cure rate is for the oxygen treatment than for the placebo. c. Based on the results, is the oxygen treatment effective? O A. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears to be lower than that of the placebo. OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches. OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same. O D. The results are inconclusive. the null hypothesis. There 0, it appears that the two cure rates are

In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 110 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 29 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. ... a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ OB. Ho: P₁ = P₂ H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ = P₂ H₁: P₁ P₂ OD. Ho: P₁ P2 OE. Ho: P₁ = P₂ H₁: P₁ P₂ OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁ P2 Identify the test statistic. Round to two decimal as needed. Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits Because the confidence interval limits include values, it appears that the cure rate is for the oxygen treatment than for the placebo. c. Based on the results, is the oxygen treatment effective? O A. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears to be lower than that of the placebo. OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches. OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same. O D. The results are inconclusive. the null hypothesis. There 0, it appears that the two cure rates are

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
Problem 1P
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In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 110 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 29 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. --- ### a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? - **A.** \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) - **B.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - **C.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - **D.** \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - **E.** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - **F.** \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) Identify the test statistic. \( z = \_\_\_\_ \) (Round to two decimal places as needed.) Identify the P-value. \( P\text{-value} = \_\_\_\_ \) (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is \_\_\_\_ the significance level of \( \alpha = 0.01 \), so we \_\_\_\_ the null hypothesis. There \_\_\_\_ evidence to support the claim that the cure rate with oxygen treatment is higher than the
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 110 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 29 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. --- ### a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? - **A.** \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) - **B.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - **C.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - **D.** \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - **E.** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - **F.** \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) Identify the test statistic. \( z = \_\_\_\_ \) (Round to two decimal places as needed.) Identify the P-value. \( P\text{-value} = \_\_\_\_ \) (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is \_\_\_\_ the significance level of \( \alpha = 0.01 \), so we \_\_\_\_ the null hypothesis. There \_\_\_\_ evidence to support the claim that the cure rate with oxygen treatment is higher than the
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