pose there are 115 patients in a clinical trial. Of those, 35 received a real medica ess, 20 received the real drug and were not cured, 28 received a sugar pill (placel remaining received a sugar pill and were cured. When testing (at the 5% level of lication was effective (or thinking about it another way, testing whether getting1 ed is independent or not), what is the critical value (please round your answer to

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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QUESTION 6
Suppose there are 115 patients in a clinical trial. Of those, 35 received a real medication and were cured of their
illness, 20 received the real drug and were not cured, 28 received a sugar pill (placebo) and were not cured and
the remaining received a sugar pill and were cured. When testing (at the 5% level of significance) whether the
medication was effective (or thinking about it another way, testing whether getting the medication and being
cured is independent or not), what is the critical value (please round your answer to 3 decimal places)
Transcribed Image Text:QUESTION 6 Suppose there are 115 patients in a clinical trial. Of those, 35 received a real medication and were cured of their illness, 20 received the real drug and were not cured, 28 received a sugar pill (placebo) and were not cured and the remaining received a sugar pill and were cured. When testing (at the 5% level of significance) whether the medication was effective (or thinking about it another way, testing whether getting the medication and being cured is independent or not), what is the critical value (please round your answer to 3 decimal places)
Expert Solution
Step 1

The objective is to test whether getting the medication and being cured is independent or not.

This is the case of Chi-square test for independency.

From the given information,

The total number of patients is, n=115

35 received a real medication and cured , 20 received a real medication and were not cured.

Thus, the total number of persons received real medication is, 35+20=55

The total number of persons received placebo is,

=Total number of patients -(total number of persons got real medication)

=115-55

= 60

The number of persons received placebo and were not cured is, 28.

The number of persons received placebo and were cured is,

= (total number of persons received placebo)-(number of persons received placebo and were cured)

= 60-28

=32

This is displayed in two-way table.

  Illness cured illness not cured Total
Real  medication 35 20 55
Placebo 32 28 60
Total 67 48 115
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