You are reading a paper that discusses the effects of a drug that claims to increase athletic performance. One group of athletes received the drug while another group of athletes received a placebo. At the end of the trial, the author's measured athletic performance using a standardized test. Higher scores (out of 50) on this standardized test indicate better athletic performance. The intervention group received a mean score of 43, while the control group received a mean score of 39. The authors calculated the p-value to be 0.02. What do these results indicate? There is a strong likelihood that the increased athletic performance seen is due to chance. The drug does not increase athletic performance. There increase in performance is more than we would expect if the drug was not effective The placebo effect makes it impossible to determine the drug's effectiveness.
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The study involves two groups of athletes: one group received a drug intended to increase athletic performance, and the other group received a placebo. The performance was measured using a standardized test, with higher scores indicating better performance. Show more…
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A clinical trial is performed to test a new drug designed to lower blood sugar levels. One hundred fifty participants are randomly assigned to take the new drug, and 150 participants are randomly assigned to take a placebo. After 6 months of treatment, blood sugar levels are measured and compared to the starting levels. For those who took the new drug, the blood sugar levels had a mean reduction of 25 points with a standard deviation of 3.1, while for those who took the placebo, the blood sugar levels showed a mean reduction of 18 points with a standard deviation of 2.8. Assuming the standard deviations are true for the entire population, calculate 90% confidence intervals and evaluate whether there is evidence the new drug is working. The interval for the new drug is from 24.584 to 25.416 points. The interval for the placebo is from 17.624 to 18.376 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is working. The interval for the new drug is from 24.504 to 25.496 points. The interval for the placebo is from 17.552 to 18.448 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is working. The interval for the new drug is from 24.584 to 25.416 points. The interval for the placebo is from 17.624 to 18.376 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is not working. The interval for the new drug is from 24.504 to 25.496 points. The interval for the placebo is from 17.552 to 18.448 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is not working.
Lucas F.
A researcher invented a new drug for baldness and performed a randomized experiment to see if the new drug worked better than the old drug Rogaine. The new drug performed better in the experiment. The p-value was 0.21. Which of the following statements most accurately describes the implication of that p-value? The new drug is significantly better than Rogaine. We cannot reject the null hypothesis. It is plausible that the superior performance of the new drug was due to chance. Rogaine is significantly better than the new drug.
Adi S.
Perform the following steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are valid. To test the effectiveness of a new drug, a researcher gives one group of randomly selected individuals the new drug and another group of randomly selected individuals a placebo. The results of the study are shown here. At $\alpha=0.10,$ can the researcher conclude that the drug results differ from those of the placebo? Use the $P$ -value method. $$ \begin{array}{lcc} \text { Medication } & \text { Effective } & \text { Not effective } \\ \hline \text { Drug } & 32 & 9 \\ \text { Placebo } & 12 & 18 \end{array} $$
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