Question

2. At 5% significance level, test the claim that there is no difference between male and female groups getting access to anti-retroviral drugs?(Apply either the critical value or p- value method following the five steps of hypothesis testing discussed in class) (10 points)

Answer 1

null hypothesis Alternate Hypothesis 0 Hi-H2 0 degree of freedom (n,+n2-2) 322.000 V- for 0.05 level with two tailed test and n-1 322 degree of freedom, critical value of t- Decision rule 1.9674 reject Ho if absolute value of test statistic It>1.967 Male Female 28.839 17.8008 162.000 32.1600 19.4597 162.0000 S1 S2 pool. vars ((n-1)s 1+(n2-1)*s 2/(n,tnz-2)- 347.774.2 -3.3210 Point estimate std error of difference-SeS V(1/n,+1/n 2) 2.0721 test statt- (x1-X2-Ab)/se 1.6027 p value:- 0.1100

as p value is not less than 0.05 level; we fail to reject null hypothesis

we do not have evidence at 0.05 level to conclude that there is a difference between male and female groups