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Mathematics, 05.05.2020 22:33 coxtinam16

Let's practice interpreting p-value. (a) Asthma affects 7% of the population. The American Journal of Respiratory and Critical Care Medicine reported on a study designed to determine if for people who regularly taking aspirin, the percentage with asthma was lower than 7%. Of 2200 randomly selected individuals who regularly take aspirin, 5.7% had asthma. The test statistic for the study was-2.39 and the p- value was.0084. Which of the following is the best interpretation of the p-value? 1. Assuming the true proportion of regular aspirin users having asthma is 0.07, the probability of selecting another sample of 2200 whose test statistic value is -2.39 or closer to 0 is 0.0084 2. Assuming the true proportion of regular aspirin users having asthma is 0.07, the probability of selecting another sample 3. Assuming the true proportion of regular aspirin users having asthma is 0.057, the probability of selecting another 4. Assuming the true proportion of regular aspirin users having asthma is less than 0.07, the probability of selecting 5. Assuming the true proportion of regular aspirin users having asthma is less than 0.07, the probability of selecting 6. Assuming the true proportion of regular aspirin users having asthma is 0.057, the probability of selecting another of 2200 whose test statistic value is -2.39 or more negative is 0.0084 sample of 2200 whose test statistic value is -2.39 or closer to 0 is 0.0084 another sample of 2200 whose test statistic value is -2.39 or closer to 0 is 0.0084 another sample of 2200 whose test statistic value is -2.39 or more negative is 0.0084 sample of 2200 whose test stisic value is -2.39 or more negative is 0.0084 (b) A gene comes in 2 forms, a short form and a long form. In the population, 20% of people have at least one copy of the short form of the gene. Researchers believe that the short form of the gene is linked to having diabetes. They want to test their theory that more than 20% of all diabetics have at least one copy of the short form of the gene. To test their theory, they randomly selected 100 diabetics and have them tested for the short form of the gene. They find that 26 of the subjects in their study have at least one copy of the short form of the gene, for a p-value of 0.0668 1. The probability we would find a sample proportion of 0.2 or greater, if in reality the population proportion were 0.26, is 0.0668 2. The probability we would reject the null hypothesis, if in reality the population proportion were 0.2, is 0.0668

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