Question

Question 7

It has been observed that some persons who suffer renal failure, again suffer renal failure 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 45 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, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode? Select the [Alternative Hypothesis, Value of the Test Statistic].

a) [p₁ < p₂ , -0.3129]

b) [p₁ > p₂ , -0.3129]

c) [p₁ ≠ p₂ , -0.2129]

d) [p₁ ≠ p₂ , -0.3129]

e) [p₁ = p₂ , -0.3129]

f) None of the above

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Question 8

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 75 people in the first group and this group will be administered the new drug. There are 45 people in the second group and this group will be administered a placebo. After one year, 11% 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 0.05, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than 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 < -1.65 or z > 1.65, FRH₀]

b) [z > 1.65, RH₀]

c) [z > -1.65 and z < 1.65, RH₀]

d) [z < -1.65 and z > 1.65, FRH₀]

e) [z < -1.65, FRH₀]

f) None of the above

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Question 9

A private and a public university are located in the same city. For the private university, 1047 alumni were surveyed and 651 said that they attended at least one class reunion. For the public university, 793 out of 1317 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05)

a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions.

b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions.

c) There is not enough information to make a conclusion.

Answer 1

7 )

a)option A is correct [p₁ < p₂ , -0.3129]

8) option E is correct [z < -1.65, FRH₀]

9)

b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions.