Question

Diabetes:

Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible. A large study found that out of 1,456 diabetics who were treated with Avandia, 27 of them had a heart attack during the study period. This was compared with 41 heart attacks among a group of 2,895 participants who were given other treatments for their diabetes. The researchers want to determine if there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

a)Are these proportions from matched-pairs data?

b)What is the result of the appropriate hypothesis test, using ? = 0.05 level of significance? (Note: list out each step in your hypothesis testing procedure and show all of your work.)

Step 1:
Step 2:
Step 3:
Step 4:
Step 5:

Answer 1

Explanation:

Given that Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.

Sample size n =1`456

Sample proportion of persons having heart attack p1= 27/1456 = 0.0186

II sample

Size = 2895

p2 = sample proportion = 41/2895 = 0.0142

a) Not matched pair data but independent proportions

b)

Step 1:
`H_0: p_1=p_2\\H_a: p_1 > p_2`

(right tailed test at 5% significance level)

Step 2: Test statistic z = 1.0995

Step 3: p value = 0.13567

Step 4: Since p >0.05 accept null hypothesis.

There is no evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Step 5: