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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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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1. 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

2. 

a) Name of hypothesis test:

 

b) H0:

 

c) HA:

 

d) Test Statistic:

 

e) p-value:

 

f) Decision in the context of the problem:

 

Frequency Percent Row Pct Col Pct The SAS System The FREQ Procedure type Table of type by time time 1-4 5-6 5-6 7-8 9-10 >10 Total Oral 100 50.76 28 32 24 10 6 14.21 16.24 12.18 5.08 3.05 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 DF Value Prob 4 11.3298 0.0231 4 11.4700 0.0218 1 0.5380 0.4633 0.2398 0.2332 0.2398 Statistic Chi-Square Likelihood Ratio Chi-Square Mantel-Haenszel Chi-Square Phi Coefficient Contingency Coefficient Cramer's V Sample Size = 197
Transcribed Image Text:Frequency Percent Row Pct Col Pct The SAS System The FREQ Procedure type Table of type by time time 1-4 5-6 5-6 7-8 9-10 >10 Total Oral 100 50.76 28 32 24 10 6 14.21 16.24 12.18 5.08 3.05 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 DF Value Prob 4 11.3298 0.0231 4 11.4700 0.0218 1 0.5380 0.4633 0.2398 0.2332 0.2398 Statistic Chi-Square Likelihood Ratio Chi-Square Mantel-Haenszel Chi-Square Phi Coefficient Contingency Coefficient Cramer's V Sample Size = 197
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