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 450 patients who took one brand of pain reliever, 22 suffered some "adverse symptom." Does the experiment provide strong evidence that fewer than 8% of patients who take this medication have adverse symptoms?

(a) H0: 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)

The data does provide statistical evidence at the 0.05 significance level that fewer than 8% 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 8% of these 450 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 8% of arthritis patients taking the pain medication experience adverse symptoms.

The data does provide statistical evidence at the 0.05 significance level that 4.89% of arthritis patients taking the pain medication experience adverse symptoms.

.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.08
HA : p < 0.08

Hypothesis test results:

Hence,

a) H0 : p = 0.08
HA : p < 0.08

b) Test statistic = -2.43

c) p - Value = 0.0075

d) The data does provide statistical evidence at the 0.05 significance level that fewer than 8% of arthritis patients taking the pain medication experience adverse symptoms.

Option A is correct.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.