In a study, two groups of patients with a particular infection are given two different antibiotic treatments. The numbers of patients cured within various periods are as follows. Treatment Time to cure (days) 1-4 5-6 7-8 9-10 >10 Oral 28 32 24 10 6 By injection 44 20 12 11 10 Use the following SAS output to perform a statistical test to if the data indicate a difference between the frequency distributions of the times to cure under the two treatments. H0: HA: a) Test Statistic: b) p-value: c) Decision in the context of the problem:
In a study, two groups of patients with a particular infection are given two different antibiotic treatments. The numbers of patients cured within various periods are as follows. Treatment Time to cure (days) 1-4 5-6 7-8 9-10 >10 Oral 28 32 24 10 6 By injection 44 20 12 11 10 Use the following SAS output to perform a statistical test to if the data indicate a difference between the frequency distributions of the times to cure under the two treatments. H0: HA: a) Test Statistic: b) p-value: c) Decision in the context of the problem:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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Question
In a study, two groups of patients with a particular infection are given two different antibiotic treatments. The numbers of patients cured within various periods are as follows.
Treatment |
Time to cure (days) |
||||
|
1-4 |
5-6 |
7-8 |
9-10 |
>10 |
Oral |
28 |
32 |
24 |
10 |
6 |
By injection |
44 |
20 |
12 |
11 |
10 |
Use the following SAS output to perform a statistical test to if the data indicate a difference between the frequency distributions of the times to cure under the two treatments.
H0:
HA:
- a) Test Statistic:
- b) p-value:
- c) Decision in the context of the problem:
![The SAS System
The FREQ Procedure
Frequency
Table of type by time
Percent
Row Pct
Col Pct
time
type
1-4 5-6
7-8 9-10
>10 Total
Oral
28
32
24
10
6
100
14.21 16.24 12.18
5.08
3.05
50.76
28.00 32.00 24.00 10.00
6.00
38.89 61.54 66.67 47.62 37.50
By Injection
44
20
12
11
10
97
22.34 10.15
6.09
5.58
5.08
49.24
45.36 20.62 12.37 11.34 10.31
61.11 38.46 33.33 52.38 62.50
Total
72
52
36
21
16
197
36.55 26.40 18.27
10.66
8.12 100.00
Statistics for Table of type by time
Statistic
DF
Value
Prob
Chi-Square
4 11.3293 0.0231
Likelihood Ratio Chi-Square
4 11.4700 0.0218
Mantel-Haenszel Chi-Square
0.5380 0.4633
Phi Coefficient
0.2398
Contingency Coefficient
0.2332
Cramer's V
0.2398
Sample Size = 197](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadb1f2ec-9567-46e6-83ed-84dd84e56385%2F7a7c774e-04fb-442d-836f-2c67ff517c0d%2Fmni8gmi_processed.png&w=3840&q=75)
Transcribed Image Text:The SAS System
The FREQ Procedure
Frequency
Table of type by time
Percent
Row Pct
Col Pct
time
type
1-4 5-6
7-8 9-10
>10 Total
Oral
28
32
24
10
6
100
14.21 16.24 12.18
5.08
3.05
50.76
28.00 32.00 24.00 10.00
6.00
38.89 61.54 66.67 47.62 37.50
By Injection
44
20
12
11
10
97
22.34 10.15
6.09
5.58
5.08
49.24
45.36 20.62 12.37 11.34 10.31
61.11 38.46 33.33 52.38 62.50
Total
72
52
36
21
16
197
36.55 26.40 18.27
10.66
8.12 100.00
Statistics for Table of type by time
Statistic
DF
Value
Prob
Chi-Square
4 11.3293 0.0231
Likelihood Ratio Chi-Square
4 11.4700 0.0218
Mantel-Haenszel Chi-Square
0.5380 0.4633
Phi Coefficient
0.2398
Contingency Coefficient
0.2332
Cramer's V
0.2398
Sample Size = 197
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