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A particular brand of candy-coated chocolate comes in five different colors that we
Chapter 9, Problem 9.1-2(choose chapter or problem)
A particular brand of candy-coated chocolate comes in five different colors that we shall denote as A1 = {brown}, A2 = {yellow}, A3 = {orange}, A4 = {green}, and A5 = {coffee}. Let pi equal the probability that the color of a piece of candy selected at random belongs to Ai, i = 1, 2, ... , 5. Test the null hypothesis H0 : p1 = 0.4, p2 = 0.2, p3 = 0.2, p4 = 0.1, p5 = 0.1, using a random sample of n = 580 pieces of candy whose colors yielded the respective frequencies 224, 119, 130, 48, and 59. You may select the significance level or give an approximate p-value
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QUESTION:
A particular brand of candy-coated chocolate comes in five different colors that we shall denote as A1 = {brown}, A2 = {yellow}, A3 = {orange}, A4 = {green}, and A5 = {coffee}. Let pi equal the probability that the color of a piece of candy selected at random belongs to Ai, i = 1, 2, ... , 5. Test the null hypothesis H0 : p1 = 0.4, p2 = 0.2, p3 = 0.2, p4 = 0.1, p5 = 0.1, using a random sample of n = 580 pieces of candy whose colors yielded the respective frequencies 224, 119, 130, 48, and 59. You may select the significance level or give an approximate p-value
ANSWER:Step 1 of 5
Define null and alternate hypothesis as,
For this case, the test to be used is the Chi-square goodness of fit test.