Activity I: Testing a Proportion with Skittles 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. Write the appropriate null and alternative hypotheses to determine if the proportion of each color is the same in a bag of Skittles. Ho: Type Answer V . H1: Type Answer 2. Randomly choose a color from one of the five colors. Count the total number of candies in the bag as well as the numberforthe color you selected. What is the sample proportion for the color you chose? Color: Type Answer Number of Skittles in the bag: Type Answer Number of Skittles in your color: Type Answer Sample proportion for your color: Type Answer 3. 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. Type your answer here. 4. Test the hypothesis you wrote in#1. Be sure to state a conclusion in a complete sentence. Type your answer here. Activity II: Testing a Mean with Skittles Skittles Brand candies can be purchased in 1-pound bags. But do you really get exactly one pound of Skittles? This activity will help you test that claim from the manufacturer. 1. Write the appropriate null and alternative hypotheses to determine if the mean weight of a bag of Skittles is one pound. Hoi Type Answer V . H1: Type Answer 2. Weigh your bag of Skittles as accurately as possible. Exact weight of your bag of Skittles: Type Answer 3. Treat all the bags of Skittles in your group as a simple random sample of all such bags produced. Verify the model requirements to conduct an appropriate hypothesis test.Type your answer here. 4. Record the weight of each bag in your group. Bag Number Weight 1 Type Answer Type Answer 3 Type Answer 4 Type Answer 5 Type Answer 5. Test the hypothesis you wrote in#1. Be sure to state a conclusion in a complete sentence. Type your answerhere