12. Treatment for Osteoporosis Osteoporosis is a condition in which people exper

Question

12. Treatment for Osteoporosis Osteoporosis is a condition in which people experience decreased bone mass and an increase in the risk of bone fracture. Actonel is a drug that helps combat osteoporosis in postmenopausal women. In clinical trials, 1374 postmenopausal women were randomly divided into experimental and control groups. The subjects in the experimental group were administered 5 milligrams (mg) of Actonel, while the subjects in the control group were administered a placebo. The number of women who experienced a bone fracture over the course of 1 year was recorded. Of the 696 women in the experimental group, 27 experienced a fracture during the course of the year. Of the 678 women in the control group, 49 experienced a fracture during the course of the year.

Construct a 95% confidence interval for the difference between the two population proportions, p exp pcontrol . (Hint: Use 2-PropZInt) Round 3 decimals.

Interpret the interval

Test the hypothesis that a lower proportion of women in the experimental group experienced a bone fracture than the women in the control group at the = 0.01  level of significance.

What is the null and alternative hypothesis?

Calculate the P-value (Use 2-PropZTest on the TI Calculator and remember the P-value is p)

Round 3 decimals

Compare the P-value to =0.01 level of significance. Is the p-value less than, greater than, or equal to the level of significance = 0.01?

What is the result of the test? Reject H0 or Do Not Reject H0?

State the conclusion.

Explanation / Answer

There are 95% chance that the sample proportion is within the CI

p-value = ,0.0066

As p-value is less than the sign

Significant evidence to conclude that two proportions are unequal

Sample 1 Sample 2 n1 696 Experimental Control n2 678 Sample Size 696 678 p1cap 0.039 No. of successes 27 49 p2cap 0.072

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