1. -7 points My Notes Ask Your Teacher An experiment on the side effects of pain

Question

1. -7 points My Notes Ask Your Teacher An experiment on the side effects of pain relievers assigned arthritis patients to take one of several over-the-counter pain medications. Of the 422 patients who took one brand o pain reliever, 21 suffered some adverse symp om. Does he experimen provide s rong evdence t a fewer than p% o patents who ae this medication have adverse symptoms? (a) Ho: p Select-.. and Ha P-Select (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) O The data does provide statistical evidence at the 0.05 significance level that ewer than 10% of arthritis patients taking the pain medication experience adverse symptoms O The data does provide statistical evidence at the 0.05 significance level that fewer than 10% of these 422 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 10% of arthritis patients taking the pain medication experience adverse symptoms. O The data does pr ide statistical evidence at the 0.05 significance level that 4.98% of arthritis patients taking the pain medication experience adverse symptoms

Explanation / Answer

a) Ho: p>=0.10 and Ha:p<0.1

b)

from above n=422

therefore std error =(p(1-p)/n)1/2 =0.0146

sample proportion phat =21/422 =0.0498

therefore test statistic z=(phat-p)/std error =(0.0498-0.1)/0.0146 =-3.44

c)

p value =0.0003

d) the data does provide statistical evidence at the 0.05 significance level that fewer than 10% of arthritis patients taking the pain medication experience adverse symptoms

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