Question

It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 10% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.01, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Rejection Region, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

a) [z > -2.58 and z < 2.58, RH₀]

b) [z > 2.58, FRH₀]

c) [z < -2.58 or z > 2.58, FRH₀]

d) [z < -2.58, RH₀]

e) [z < -2.58 and z > 2.58, FRH₀]

f) None of the above

Answer 1

From the given information,

By using calculator,

The required correct answer is,

[z < -2.58 or z > 2.58, FRH₀]

Hence, Option c. is correct.

Thank you.