Consider the test for differences in age among the new drug compared to the placebo (two variables). Write the hypotheses and the formula of the test statistic used (No computations required – formula only). c) Consider the test for differences in proportions of individuals with insurance coverage among the new drug and the placebo (hint: two variables). Write the hypotheses and the formula of the test statistic used (No computations required – formula only). d) Consider the test for differences in disease stage among treatments. Write the hypotheses and the formula of the test statistic used (No computations required – formula only). Are disease stage and drug assignment independent?

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Consider the test for differences in age among the new drug compared to the placebo (two
variables). Write the hypotheses and the formula of the test statistic used (No computations
required - formula only).
c) Consider the test for differences in proportions of individuals with insurance coverage among the new
drug and the placebo (hint: two variables). Write the hypotheses and the formula of the test statistic
used (No computations required – formula only).
d) Consider the test for differences in disease stage among treatments. Write the hypotheses and the
formula of the test statistic used (No computations required - formula only). Are disease stage and
drug assignment independent?
Transcribed Image Text:Consider the test for differences in age among the new drug compared to the placebo (two variables). Write the hypotheses and the formula of the test statistic used (No computations required - formula only). c) Consider the test for differences in proportions of individuals with insurance coverage among the new drug and the placebo (hint: two variables). Write the hypotheses and the formula of the test statistic used (No computations required – formula only). d) Consider the test for differences in disease stage among treatments. Write the hypotheses and the formula of the test statistic used (No computations required - formula only). Are disease stage and drug assignment independent?
5. The following table was presented in an article summarizing a study to compare a new drug to a
standard drug and to a placebo.
Standard Drug
44.9 (5.1)
Characteristic*
New Drug
Placebo
Age, years
45.2 (4.8)
42.8 (4.3)
0.5746
% Female
51%
55%
57%
0.1635
Annual Income, $000s
59.5 (14.3)
63.8 (16.9)
58.2 (13.6)
0.4635
% with Insurance
87%
65%
82%
0.0352
Disease Stage
0.0261
35%
18%
33%
Stage I
Stage II
Stage III
*Table entries and Mean (SD) or %
42%
37%
47%
23%
51%
20%
a) Are there any statistically significant differences in the characteristics shown among the
treatments? Justify your answer.
Transcribed Image Text:5. The following table was presented in an article summarizing a study to compare a new drug to a standard drug and to a placebo. Standard Drug 44.9 (5.1) Characteristic* New Drug Placebo Age, years 45.2 (4.8) 42.8 (4.3) 0.5746 % Female 51% 55% 57% 0.1635 Annual Income, $000s 59.5 (14.3) 63.8 (16.9) 58.2 (13.6) 0.4635 % with Insurance 87% 65% 82% 0.0352 Disease Stage 0.0261 35% 18% 33% Stage I Stage II Stage III *Table entries and Mean (SD) or % 42% 37% 47% 23% 51% 20% a) Are there any statistically significant differences in the characteristics shown among the treatments? Justify your answer.
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