Question

Question: The Mars Wrigley company claims that 20 percent of Skittles candies distributed into boxes are red. Investigate this claim with an appropriate hypothesis test. Use a significance level of α=0.05.

Please complete both parts. 1 and 2

1.

What is the parameter of interest in this situation and how do you know?

Null hypothesis:

Alternative hypothesis:

Explain why you chose the alternative hypothesis that you did.

Color Count (Red-21 Non-Red-73 Total-94)

What test should we use for this hypothesis, explain?

Briefly explain the process of performing the hypothesis test with the TI calculator or technology of your choice (as if you were explaining the process to someone who has never done this. Be sure to explain the why.)

The p-value for this test statistic is: __________

Conclusion: We REJECT / DO NOT REJECT the null hypothesis.

State what this conclusion means in terms of the problem.

2.

How would using a smaller or larger bag as your sample size change your results? Would you be more likely to reject the null with a smaller or larger sample size? What does increasing the sample size do? Explain your answer.

Repeat the process with a different color.

The Mars Wrigley claims that the proportion is equal for all flavors.

Null hypothesis:

Alternative hypothesis:

Color Count (Yellow-17 Non-Yellow-77 Total-94)

The p-value for this test statistic is: __________

Conclusion: We REJECT / DO NOT REJECT the null hypothesis.

State what this conclusion means in terms of the problem.