Question

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. Submit your answer as a Word, Excel, .rtf or .pdf format through the M&M® project link in the weekly course content. HELP 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

	Candies per bag	Blue candies	Green candies	Orange candies	Yellow Candies	Brown Candies	Red Candies
Bag 1	55	11	11	13	12	4	4
Bag 2	57	11	13	13	10	2	8
Bag 3	58	13	14	7	13	3	8
n	3	3	3	3	3	3	3
average	56.66666667	11.66666667	12.66666667	11	9.5	3	5.75
stanard deviation	1.527525232	1.154700538	1.527525232	3.464101615	1.527525232	1	2.309401077
95% confidence inteval	3.794583034	2.868435153	3.794583034	8.605305459	3.794583034	2.484137712	5.736870306

Answer 1

We find the following statistics for the red and brown candies

Hypothesis testing.