statistics help for the following scenario In a double blind, randomised trial c
ID: 2931215 • Letter: S
Question
statistics help for the following scenario
In a double blind, randomised trial conducted during a flu outbreak, the effect of two drugs (Rimantadine and Amantadine) and a placebo were tested among 450 volunteer subjects. The numbers developing flu-like symptoms are shown in the table below.
Treatment
Placebo
Amantadine
Rimantadine
No Flu
104
128
135
Flu-like symptoms
54
19
10
Total
158
147
145
a) Convert the table above to show the proportion of people with and without flu for each treatment. Fill in the table below.
Treatment
Placebo
Amantadine
Rimantadine
No Flu
Flu-like symptoms
Total
1
1
1
b)Draw an appropriate graph (using Minitab or Excel) that would enable the reader to compare the distribution of the people with and without flu for each treatment.
c)Summarise the main message from the graph
The researchers want to test whether having the flu is independent of treatment.
d)State the null and alternate hypotheses for this test.
e) Use Minitab Express to calculate the Chi-square test statistic. Include the expected number of cases and the contributions from each cell in your Minitab output. Attach your output here
f)Show how the expected number of “no flu” people for Placebo is calculated by hand.
g)Show how the contribution to the Chi-square statistic from “flu-like symptoms” for Placebo is calculated by hand.
h)State the test statistic and its degrees of freedom.
i)Explain whether you have evidence against the null hypothesis or not
j)State your conclusion in context. Which treatment would you recommend?
Treatment
Placebo
Amantadine
Rimantadine
No Flu
104
128
135
Flu-like symptoms
54
19
10
Total
158
147
145
Explanation / Answer
test statistic = 41.82987
degree of freedom = (2-1(3-1)=2
critical value = 5.9914
since TS > critical value , we reject the null and conclude that he flu is dependent of treatment.
we would recommentd Amantadine
c1 c2 c3 sum r1 104 128 135 367 r2 54 19 10 83 sum 158 147 145 450 Eij 1 2 3 expected 1 128.8578 119.8867 118.2556 2 29.14222 27.11333 26.74444 0i 104 128 135 54 19 10 Ei 128.8578 119.8867 118.2556 29.14222 27.11333 26.74444444 sum (Oi-Ei)^2/Ei 4.79528 0.54907 2.370937 21.20323 2.427816 10.48353875 41.82987 critical value 5.991465Related Questions
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