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 437 patients who took one brand of pain reliever, 24 suffered some "adverse symptom." Does the experiment provide strong evidence that fewer than 10% of patients who take this medication have adverse symptoms?

(a) H₀: p  ---Select--- < > =  and H_a: 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

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.The data does provide statistical evidence at the 0.05 significance level that fewer than 10% of these 437 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.The data does provide statistical evidence at the 0.05 significance level that 5.49% of arthritis patients taking the pain medication experience adverse symptoms.

Answer 1

a)

null Hypothesis:               Ho:   p		=	0.100
alternate Hypothesis:    Ha: p		<	0.100

b)

sample success x   =		24
sample size          n    =		437
std error   se =√(p*(1-p)/n) =		0.0144
sample proportion p̂ = x/n=		0.0549
test stat z =(p̂-p)/√(p(1-p)/n)=		-3.14

c)

p value                          =

0.0008

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