Question

Skittles Brand candies come in red, orange, yellow, green, and purple (violet). It is well known that M&M Brand candies are not represented with equal frequency. However, do the colors of Skittles candies occur with equal frequency?

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

(Counting for Red Skittles)

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 (you may need to open the bag to see how many colors there are represented)

H₀:

H₁:

3. Count!

Number of Skittles in the bag: 60

Number of Skittles in your color: 14

Sample proportion for your color:

4. Treat the candies in the bag as a simple random sample of all candies produced. Verify the model requirements to conduct an appropriate hypothesis test. Show your calculations below.

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

Be sure to state a conclusion based on your P-value in a complete sentence.

Answer 1