How is the chisquare independence test similar to the goodnessoffit test? How is it different?
What is the difference between McMemar’s Test and the Chisquared test for 2 by 2 table.
Question 2
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug 1 and 80 patients received Drug 2. The following table gives the information about the number of patients cured and the once not cured by each of these two drugs
Cured 
Not cured 

Drug 1 
59 
11 
Drug 2 
61 
19 
A. For this contingency table, what is the number of degrees of freedom?
B. For this contingency table, what are the observed frequencies for the first row?
C. For this contingency table, what are the expected frequencies for the first row?
D. For this contingency table, what is the critical value of chi square, use 10% significance level?
E. What is the test statistics for this contingency table?
F. Based on chisquared test, we can say that
For this question, please answer in the following format:
A 
B 
C 
D 
E 
F 
A  B  C  D  E  F 
1  59 and 11  56 and 14  2.706  1.51  The drug is not effective 
below are the details":
A)
degree of freedom(df) =(rows1)*(columns1)=  1 
B)
observed frequencies for the first row 59 and 11
c) Ei=row total*column total/grand total
from above
expected frequencies for the first row =56 and 14
d)
for 1 df and 0.1 level , critical value χ2=  2.706 
e)
Applying chi square test of independence: 
chi square χ^{2}  =(O_{i}E_{i})^{2}/E_{i}  c  d  Total 
a  0.161  0.643  0.8036  
b  0.141  0.5625  0.7031  
total  0.3013  1.2054  1.507  
test statistic X^{2} =  1.51 
F)
since test statistic <critical value
The drug is not effective
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