Purpose:To apply hypothesis testing of proportion to real data.

Skills:Use calculator to compute P-values.

Knowledge:This assignment will help you to practice the vocabulary and interpretations connected to hypothesis tests of proportions.

Task:Skittles Brand candies come in red, orange, yellow, green, and purple (violet). Do the colors of Skittles candies occur with equal frequency?

(already done) 1.Decide on a color to test, and get yourself a bag of (classic) Skittles.

My color:green

(already done) 2.Write the appropriate null and alternative hypotheses using proportions, to determine if the proportion of each color is the same in a bag of Skittles (remember, there are 5 colors....)

H₀: p= 0.2

H₁:p 0.2

(already done) 3.Count!

Number of Skittles in the bag: 57

Number of Skittles in your color: 12

Sample proportion for your color: 12/56=0.214

4.Treat the candies in the bag as a simple random sample of all candies produced. See if the model requirements to conduct an appropriate hypothesis test are met.Show your calculations below for n*p*(1-p), and note that the "p" is the value from H0.

5.Test the hypothesis you wrote in Step #2. Use = 5%.What P-value did you get? _____

Now state a conclusion based on your P-value in a complete sentence.Your conclusion should include whether (or not) your results support the idea of an equal frequency of colors.

6.Do you think that Skittle colors are represented with equal frequency?Say Yes or No, and back up your answer with evidence gathered in this activity.