Question

Something tells me I’m doing this problem wrong..Help me solve it please :)

6. An experiment on the side effects of pain relievers assigned arthritis patients 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? b. Does the experiment provide strong evidence that fewer than 10% of patients who take this medication have adverse symptoms? Verify that the conditions for inference are met. State the hypothesis, calculate the test statistic, then obtain and interpret the P-value. a) up =p - Oulu (0.10)(1-0./0) 440 10) =/0.0143 6) Ho: P30.10 Z=-3.34 Hai P<0.10 p = K = 440 23 7 8 = 0.0523 40

Answer 1

Given, n=440 X=23 P= 104. >> 0.10 then " . . P = A=23 p= ŕ 440 S = 0.0523 a) Mean M =P 26.10 Standard deviation, or = P*(1-P)[0 JO VOC -0.10)/440 G = 0.0143 b) will hypothesis: Ho! P= CH10 Alternative Hypothesis : HI:P<0.10 NOW) test Statistic, Z=PM) 0.0523 -0.10 0.0143 2 = -3.337

then, P-value = (-3.337,1) = 0.0004 (using p-value Calculator) S .P = 0.0004 Calculanta Hence, the experiment provides Strong evidence that fewer than 10% of patients who is take this medication have adsverse Symptoms.
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