An experiment on the side effects of pain relievers assigned arthritis patients

Question

An experiment on the side effects of pain relievers assigned arthritis patients to take one of several over-the-counter pain medications. Of the 448 patients who took one brand of pain reliever, 24 suffered some "adverse symptom." Does the experiment provide strong evidence that fewer than 11% of patients who take this medication have adverse symptoms? (a) H0: p Correct: Your answer is correct. and Ha: p (b) The test statistic is (Use 2 decimal places) (c) The p-value is (Use 4 decimal places) (d) Therefore, we can conclude that (choose all that apply) The data does provide statistical evidence at the 0.05 significance level that fewer than 11% of arthritis patients taking the pain medication experience adverse symptoms. The data does provide statistical evidence at the 0.05 significance level that fewer than 11% of these 448 arthritis patients taking the pain medication experience adverse symptoms. The data does not provide statistical evidence at the 0.05 significance level that fewer than 11% of arthritis patients taking the pain medication experience adverse symptoms. The data does provide statistical evidence at the 0.05 significance level that 5.36% of arthritis patients taking the pain medication experience adverse symptoms.

Explanation / Answer

here null hypothesis:Ho: p=0.11

alernative hypothesis:Ha: p<0.11

here n=448 ; therefore std error =(p(!-p)/n)1/2 =0.0148

for sample proportion phat=24/448 =0.0536

b)therefore test statistic z=(phat-p)/std error =(0.0536-0.11)/0.0148 =-3.8172~ -3.81

c) for above test statistic ; p value =0.0001

d) The data does provide statistical evidence at the 0.05 significance level that fewer than 11% of arthritis patients taking the pain medication experience adverse symptoms.

please revert

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