50. Which one of the following statements about the randomisation test is true? The P-value for this test is: (1) approximately 0.017 and there is strong evidence of a medication effect on the adverse events. (2) approximately 0.009 and there is strong evidence of a medication effect on the adverse events. (3) approximately 0.034 and there is some evidence of a medication effect on the adverse events. (4) exactly 0.017 and there is strong evidence of a medication effect on the adverse events. (5) exactly 0.149 and there no evidenc of a medicatio effect on the adverse events.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question
At the end of the study period, patients were asked whether they had experienced an
adverse event. An adverse event can be defined as any unfavourable sign or symptom
associated with the use of a treatment.
5 out of 59 patients in the Paracetamol group and 14 out of 60 in the paracetamol
group reported an adverse event.
Let:
and
PAdv. Para be the underlying proportion of patients given Paracetamol only
who report an adverse event
PAdv.Comb
A formal hypothesis test was conducted on the data using a randomisation test. The
hypotheses are:
be the underlying proportion of patients given a Combination of
painkillers who report an adverse event.
Ho: PAdv. Comb PAdv. Para = 0
H₁: PAdv.Comb - PAdv.Para 0
Figure 10 shows output from the randomisation test.
Module: Randomisation test Variable: Adverse (Yes | No) Quantity: proportion
Data
5.
00
[
0
0
-0.4
000
0.149
14
000
0.2
000
0
Re-randomisation distribution
000
000
-0.2
000
0
000
0.4
54
0
000
Statistic: difference File: ParacetamolAdverse
Paracetamol
46
0.6
000
000
0
0
000
000
o
0
0
0 0
0.8
17/1000
= 0.017
0.2
Figure 10: Randomisation test output
000
000
0
Combination
000
O
O
000
1
0.4
Transcribed Image Text:At the end of the study period, patients were asked whether they had experienced an adverse event. An adverse event can be defined as any unfavourable sign or symptom associated with the use of a treatment. 5 out of 59 patients in the Paracetamol group and 14 out of 60 in the paracetamol group reported an adverse event. Let: and PAdv. Para be the underlying proportion of patients given Paracetamol only who report an adverse event PAdv.Comb A formal hypothesis test was conducted on the data using a randomisation test. The hypotheses are: be the underlying proportion of patients given a Combination of painkillers who report an adverse event. Ho: PAdv. Comb PAdv. Para = 0 H₁: PAdv.Comb - PAdv.Para 0 Figure 10 shows output from the randomisation test. Module: Randomisation test Variable: Adverse (Yes | No) Quantity: proportion Data 5. 00 [ 0 0 -0.4 000 0.149 14 000 0.2 000 0 Re-randomisation distribution 000 000 -0.2 000 0 000 0.4 54 0 000 Statistic: difference File: ParacetamolAdverse Paracetamol 46 0.6 000 000 0 0 000 000 o 0 0 0 0 0.8 17/1000 = 0.017 0.2 Figure 10: Randomisation test output 000 000 0 Combination 000 O O 000 1 0.4
50. Which one of the following statements about the randomisation test is true?
The P-value for this test is:
(1) approximately 0.017 and there is strong evidence of a medication effect on the
adverse events.
(2) approximately 0.009 and there is strong evidence of a medication effect on the
adverse events.
(3) approximately 0.034 and there is some evidence of a medication effect on the
adverse events.
(4) exactly 0.017 and there is strong evidence of a medication effect on the adverse
events.
(5) exactly 0.149 and there no evidence of a medication effect on the adverse
events.
Transcribed Image Text:50. Which one of the following statements about the randomisation test is true? The P-value for this test is: (1) approximately 0.017 and there is strong evidence of a medication effect on the adverse events. (2) approximately 0.009 and there is strong evidence of a medication effect on the adverse events. (3) approximately 0.034 and there is some evidence of a medication effect on the adverse events. (4) exactly 0.017 and there is strong evidence of a medication effect on the adverse events. (5) exactly 0.149 and there no evidence of a medication effect on the adverse events.
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