In: Statistics and Probability
1. In a clinical trial for the effectiveness of a new treatment for the flu, some people were given the new treatment while others received a placebo, Of the 400 people that were given the new treatment, 300 of them saw improvements. Of the 169 people that received the placebo, 120 saw improvements. Use a 0.05 significance level to test the claim that there is no difference in the proportion of people that saw improvements whether or not they receive the new treatment.
(a) Find the null hypothesis, H0 and the alternative hypothesis, H1.
(b) Find the test statistic, z.
(c) Find the critical region.
(d) Determine whether we can reject the null hypothesis or not