15.A manufacturer withdrew Drug Upper VDrug V from the market after a study reve

Question

15.A manufacturer withdrew

Drug Upper VDrug V

from the market after a study revealed that its use was associated with an increase in the risk of heart attack. The experiment was placebo-controlled, randomized, and double-blind. Out of

12801280

people taking

Drug Upper VDrug V

there were

4747

heart attacks, and out of

12631263

people taking the placebo, there were

2323

heart attacks. Perform a hypothesis test to test whether those who take

Drug Upper VDrug V

have a greater rate of heart attack than those who take a placebo. Use a level of significance of

0.100.10.

Can we conclude that

Drug Upper VDrug V

causes an increased risk of heart attack?

A manufacturer withdrew Drug V from the market after a study revealed that its use was associated with an increase in the risk of heart attack. The experiment was placebo-controlled, randomized, and double-blind. Out of 1280 people taking Drug V there were 47 heart attacks, and out of 1263 people taking the placebo, there were 23 heart attacks. Perform a hypothesis test to test whether those who take Drug V have a greater rate of heart attack than those who take a placebo. Use a level of significance of 0.10. Can we conclude that Drug V causes an increased risk of heart attack? Determine the hypotheses for this test. Let p1 represent the population proportion of heart attacks for those who take Drug V and let p2 represent the population proportion of heart attacks for those who take the placebo. Choose the correct answer below. OA, Ho: p1-p2 Ha P1 P2 OE. Ho :P1=P2 Ha P1 P2 HaPP2 Ha : p1 = p2 O F. Ho P1P2 Ha PP2 D. Ho:p1=p2 Find the test statistic for this test z = | | (Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0

Hypothesis test results:

Hence,

Hypotheses: Option A is correct.

z = 2.852

P - value = 0.002

Reject Ho

Conclusion: Option A is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 47 1280 23 1263 0.01850814 0.0064890518 2.8522103 0.0022

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