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. ?= 0.05

H₀:

H_A:

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 time Col Pet 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 7 0.5380 0.4633 Phi Coefficient 0.2398 Contingency Coefficient 0.2332 Cramer's V 0.2398 Sample Size = 197