A study is conducted comparing two competing medication for asthma. Sixteen subjects are enrolled in the study and patients are randomized to one of the competing medication treatments. The data shown below reflect asthma symptom scores for patients assigned to each treatment. Higher scores are indicative of worse asthma symptoms. Treatment A: 55 60 80 65 72 78 68 71 Treatment B: 80 82 86 89 76 81 90 76 At the 5% significance level, do the data provide enough evidence to conclude that there is a significant difference in the mean asthma symptom scores between medications? (a) Write down the null and alternative hypotheses in mathematical symbols. (b) Carry out the one sample t test using Minitab assuming equal variance. (c) Give your decision about the test at the significance levels of 0.05. (d) Give your conclusion in the context of research
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Step 1
(a) The null hypothesis (H0) and alternative hypothesis (H1) are as follows: H0: μA = μB (The mean asthma symptom scores for Treatment A and Treatment B are equal) H1: μA ≠ μB (The mean asthma symptom scores for Treatment A and Treatment B are not equal) Show more…
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CDC's National Asthma Control Program was created in 1999 to help the millions of people with asthma in the United States control their disease. According to a report released in 2010, 35.2% of US adults have intermittent asthma (meaning their asthma is well-controlled without long-term medication). In order to update the report, the CDC sampled 2063 adults and found that 700 of those sampled had intermittent asthma. Test the appropriate hypotheses to determine if the percentage of US adults with intermittent asthma has changed from the value reported by the CDC. Use a significance level of 0.10. Ho: p = 0.352 Ha: p ≠ 0.352 α = 0.10 Test Statistic: z = (p̂ - p) / √(p(1-p)/n) (Note: round the test statistic to two decimal places) probability = 0.2272 decision: Fail to reject H₀ At the 0.10 level, there is not significant evidence to conclude the percentage of US adults with intermittent asthma is different than 35.2%.
David N.
CDC's National Asthma Control Program was created in 1999 to help the millions of people with asthma in the United States control their disease. According to a report released in 2010, 35.2% of US adults have intermittent asthma (meaning their asthma is well-controlled without long-term medication). In order to update the report, the CDC sampled 2872 adults and found that 1017 of those sampled had intermittent asthma. Test the appropriate hypotheses to determine if the percentage of US adults with intermittent asthma has changed from the value reported by the CDC. Use a significance level of 0.10. PLEASE SHOW WORK. H o: __ Ha: __ ? = Test Statistic: = (Note: round the test statistic to two decimal places) probability = decision: At the 0.10 level, there is, is not significant evidence to conclude the percentage of US adults with intermittent asthma is than less than, greater than, different than 35.2%.
Thuc N.
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