The data from a set of clinical trials involving three diffe

The data from a set of clinical trials involving three different infection medications are shown below. Test whether the three medications are equally effective at treating the infection. (Use one decimal place when computing the expected values.)

H0:

H1:

Test Statistic:

P-value (can be a range):

Conclusion:

Result Completely Partially No 0 MedicationH HealedHealed Change 23 19 17 24 10

Solution

Ho:there is no significant difference between three medications while treating the infection H1: there is significant difference between three medications while treating the infection calculations: 23 17 4 44 Oi Ei [Oi-Ei] [Oi-Ei]^(2)/Ei 19 24 7 50 23 19.5 12.25 0.6 14 10 8 32 17 17.8 0.64 0.04 total 56 51 19 126 4 6.6 6.76 1.02 19 22.2 10.24 0.46     for example E1 = ((44)*(56))/126 24 20.2 14.44 0.71 7 7.5 0.25 0.03 14 14.2 0.04 0.002 10 12.9 8.41 0.65 8 4.8 10.24 2.13 Total= 5.642 Test statistic: chi-square=summation of i=1 to 3([Oi-Ei]^(2)/Ei) = 5.642. P value of chi-square at 5% level of significance at (3-1)*(3-1) is 9.488, so calculated value is less than tabulated value, so we accept Ho i.e. there is no significant difference of three medications while treating the infection.