A clinician wishes to test the effectiveness of drugs A, B, and C in preventing deaths from sickness Y. He administered the treatment on guinea pigs, whom he subsequently injected with the virus of sickness Y. The % of mortality for drug A was 47.4%, for drug B was 66.7%, and for drug C was 58.3%. Can he conclude that drug A is best, followed by drug C, and then by drug B? To a statistician's Null hypothesis, the question is reduced to the following equation: Drug A = Drug C = Drug B. %3D Test this hypothesis. A. Analyze the problem. B. The choice of test C. Conclusion.

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USE OF THE CHI-SQUARE TEST AND Z-TEST

please problem no. 2, thanks.

Problem 1. Expand the problem further as follows:
Get 60 rats, inject all with virus Z, then treat 29 with Drug A, and 31 without
treatment and observe.
Let us say that the result is as follows:
Treatment
Total
Deaths
Survivor
% Survivor
Drug A
Control
29
11
18
62
31
24
7
23
Total
60
35
25
42
A. Analysis of the problem: Here we have only 2 proportions being
compared. pa and pc, or 62% and 23%. Are they really different, or is the
difference du
only to chance, meaning pa = pc.
B. Choice of test. Do a z test, or do a Chi – square test. For z test, let us use
1% level of significance. To reject the hypothesis, we must exceed the value
of 2.58.
C. Conclusion. Accept or reject the hypothesis.
Problem 2.
A clinician wishes to test the effectiveness of drugs A, B, and
deaths from sickness Y. He administered the treatment on guinea pigs, whom
he subsequently injected with the virus of sickness Y. The % of mortality for
drug A was 47.4%, for drug B was 66.7%, and for drug C was 58.3%. Can he
conclude that drug A is best, followed by drug C, and then by drug B?
in preventing
To a statistician's Null hypothesis, the question is reduced to the following
equation: Drug A = Drug C = Drug B.
Test this hypothesis.
A. Analyze the problem.
B. The choice of test
C. Conclusion.
Transcribed Image Text:Problem 1. Expand the problem further as follows: Get 60 rats, inject all with virus Z, then treat 29 with Drug A, and 31 without treatment and observe. Let us say that the result is as follows: Treatment Total Deaths Survivor % Survivor Drug A Control 29 11 18 62 31 24 7 23 Total 60 35 25 42 A. Analysis of the problem: Here we have only 2 proportions being compared. pa and pc, or 62% and 23%. Are they really different, or is the difference du only to chance, meaning pa = pc. B. Choice of test. Do a z test, or do a Chi – square test. For z test, let us use 1% level of significance. To reject the hypothesis, we must exceed the value of 2.58. C. Conclusion. Accept or reject the hypothesis. Problem 2. A clinician wishes to test the effectiveness of drugs A, B, and deaths from sickness Y. He administered the treatment on guinea pigs, whom he subsequently injected with the virus of sickness Y. The % of mortality for drug A was 47.4%, for drug B was 66.7%, and for drug C was 58.3%. Can he conclude that drug A is best, followed by drug C, and then by drug B? in preventing To a statistician's Null hypothesis, the question is reduced to the following equation: Drug A = Drug C = Drug B. Test this hypothesis. A. Analyze the problem. B. The choice of test C. Conclusion.
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