2. Graeven and Jones (1976) studied a heroin epidemic in the San Francisco Bay area. A sample of 120 drug users was interview and each subject was asked to name the kind of drug that each was first injected. These data are listed below. Because previous data was inadequate, it was hypothesized that the proportions of subjects reporting "type of first drug injected" would be 60% for heroin, 30% for speed, and 10% for all others. Test the hypothesis that the probabilities for type of drug first Mosta injected do not differ from the hypothesized proportion given above. First drug injected number Heroin 60 Speed 40 other 20 Total 120 (a) (2 points) State the null hypothesis and alternative hypothesis (b) (4 points) Find the test statistic (c) (2 points) If the type-I error a = 0.1, find the critical value(s) and shade the rejection region(s) (d) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclu sion?(Do not use p-value to support your conclusion)1. The following is a completely randomized design with treatments given below: Treatment 1 16 16 21 20 Treatment 2 16 11 13 14 11 Treatment 3 12 15 3 11 15 12 (a) (5 points) Complete the ANOVA Table below (fill in those with ?)If you use your own paper, Copy the ANOVA table to your answer paper. Source Sum of Squares df MS F Treatment ? error ? Total ? Use F-test to test the equality of the treatment means. (b) (2 points) State the null hypothesis and alternative hypothesis (c) (4 points) Find the test statistic (d) (2 points) If the type-I error a = 0.1, find the critical value(s) and shade the rejection region(s) (e) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclu sion? (Do not use p-value to support your conclusion)