Question

Using the methods in Section 11.1, test the hypothesis (α = 0.05) that the population proportions of red and brown are equal (pred = pbrown). You are testing if their proportions are equal to one another. NOTE: These are NOT independent samples, but we will use this approach anyway to practice the method. This also means that n1 and n2 will both be the total number of candies in all the bags. The “x” values for red and brown are the counts of each we found on the Data page. You will need to calculate the weighted p: Be sure to state clear hypotheses, test statistic, critical value or p-value, decision (reject/fail to reject), and conclusion in English.

(You can use your TI to help with this test. Needed information for both tools include: x1 = number of red n1 = total number of candies x2 = number of brown n2 = total number of candies For the TI, you will want 2-PropZTest. Then select the appropriate alternative (not equal), and Calculate then enter. The output will have the test statistic (z), p-value (p), sample p values, weighted p (), then repeat of sample sizes.)

Blue	Orange	Green	Yellow	Red	Brown	Total Number of Candies in Bag
6	17	10	8	10	7	58
8	8	11	12	9	10	58
8	13	14	4	12	7	58
7	13	10	7	14	7	58
12	13	4	13	5	10	57
13	8	12	13	1	10	57
8	8	14	7	9	11	57
16	10	10	5	11	4	56
11	11	8	13	6	7	56
10	9	14	10	9	4	56
6	12	13	8	9	8	56
14	10	2	13	7	10	56
11	10	11	12	5	7	56
14	11	8	6	7	10	56
14	8	9	5	5	15	56
11	12	10	12	7	3	55
12	9	12	8	5	9	55
7	12	10	7	10	9	55
8	9	13	11	10	4	55
10	11	9	10	6	9	55
10	10	9	10	7	9	55
9	3	9	13	8	13	55
10	8	13	10	9	5	55
11	6	11	7	8	12	55
12	13	10	11	5	3	54
12	8	5	15	8	6	54
12	8	5	15	8	6	54
14	14	9	4	6	7	54
13	7	12	9	4	9	54
13	10	11	8	5	6	53
7	11	10	9	7	9	53
9	14	8	6	6	10	53
12	10	8	7	9	6	52
10	7	11	7	8	8	51
11	3	12	8	7	10	51
8	10	12	6	7	6	49

Answer 1