Question

An experiment on the side effects of pain relievers assigned patients with arthritis to take one of several over-the-counter pain medications. Of the 440 patients who took one brand of pain reliever, 23 suffered some "adverse symptom". (a) If 10% of all patients suffer adverse symptoms, what would be the sampling distribution of the proportion with adverse symptoms in a sample of 440 patients? Normal with mean 0.1 and standard deviation 0.0143 Approximately Normal with mean 0.1 and standard deviation 0.0143 Binomial with440 and p 0.1 Approximately Normal with mean 44 and standard deviation 6.293 (b) Does the experiment provide strong evidence that fewer than 10% of patients who take this medication have adverse symptoms? Select the correct pair of hypotheses that should be tested for answering this question. Ho: p 0.1 versus Ha:p 0.1 Ho:p-0.1 versus Ha: p o.1 O Ho: p-0.1 versus Ha: p-0.0523 OHo: p = 0.1 versus Ha: p > 0.1 Assume that the sample is an SRS of arthritis patients. Are the conditions for inference met? es O No Give the value of the test statistic. (Enter your answer rounded to three decimal places.) Select the correct P-value. 0.004 0.0004 0.03 O 0.00s Select the correct conclusion. O We have very strong evidence, significant at α = 0.01, that fewer than 10% of arthritis patients taking the pain medication experience adverse symptoms. O We have very strong evidence, significant at α = 0.01, that the proportion of arthritis patients taking the pain medication, that experience adverse symptoms is 0.1 The data fail to give significant evidence that fewer than 10% of arthritis patients taking the pain medication, experience adverse symptoms. O We have evidence, significant at α 0.05, but not at α 0.01, that fewer than 10% of arthritis patients taking the pain medication experience adverse symptoms.

Answer 1

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