ANSWER:
Given that,
5)
null hypothesis : Assume that there is no association between adverse reaction and new drug
alternative hypothesis : Assume there is an association between these two variables.
How to calculate the chi-square statistic by hand. First we have to calculate the expected value of the two nominal variables. We can calculate the expected value of the two nominal variables by using this formula:
Where
= expected value
= Sum of the ith column
= Sum of the kth row
N = total number
After calculating the expected value, we will apply the following formula to calculate the value of the Chi-Square test of Independence:
= Chi-Square test of Independence
= Observed value of two nominal variables
= Expected value of two nominal variables
Degree of freedom is calculated by using the following
formula:
DF = (r-1)(c-1)
Where
DF = Degree of freedom
r = number of rows
c = number of columns
here r = c = 2
Expected values are :
E11 = (84*18) / 182 = 8.308
E12 = (18*98) / 182 = 9.692
E21 = (164*84) / 182 = 75.692
E22 = (164*98) / 182 = 88.308
Decision:
then 2 = 1.798(observed)
tabulated 20.05 ; 1 = 3.841
observed 2 < tabulated 2
We failed to reject the null hypothesis . According to the given data the two variables are independent.
Conclusion:
it is concluded that null hypothesis Ho is not rejected.Therefore there is NOT enough evidence to claim that two variables are depedent at the 0.05 significance level.
S. Chi-Squared Test of Independence Tests for the adverse reactions to a new drug vielded the...
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