Task 1: Testing a claim with Skittles

Skittles Brand candies come in red, orange, yellow, green, and purple. 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?(I used a 9oz bag of Skittles)

1. If there are 5 colors in a bag of skittles and proportion of each color is the same, what is the probability (given as a decimal) of each color in the bag?

p=1/5=0.2

2. Claim: The colors of Skittles occur with equal frequency. Given this claim, is this going to be a hypothesis test for Population Proportion or Population Mean?

This is going to be a hypothesis test for Population Proportion.

3. Write the appropriate null and alternative hypothesis in symbols to determine if the proportion of each color is the same in a bag of skittles.

Null Hypothesis:H0: p=0.2

Alternative Hypothesis:H1: p=/0.2

4. Obtain a bag of Skittles. Randomly choose a color from one of the five colors. Count the total number of candies in the bag as well as the number for the color you selected.

What color did you choose?Purple

Number of Skittles in the bag:236

Number of Skittles in your color:52

Sample proportion for your color:52/236=0.220

5. Test the hypothesis you wrote in above using the classical/traditional Approach or the P-value approach. Include in work, the critical value and test statistic or p-value. Be sure to state a conclusion in a complete sentence.

(I need help with the Question 5 please and double check if the previous exercises are correct. Thank you).