For years, the makers of M&Ms has claimed that 24% of the candies placed in bags of milk chocolate M&Ms are blue. Blue is my favorite M&M color, and I suspect that the makers of M&Ms are cheating me; that in fact fewer than 24% of the candies placed in bags of milk chocolate M&Ms are blue. You will use statistical inference to decide whether my suspicion can be supported.

Part 1 (in class):

1. Divide into groups of 5 - 6.
3. Each of you will be given a fun size bag of milk chocolate M&Ms. No taste testing yet!
5. Assume that the M&Ms in your group's bags is a sample that can be considered representative of the population of all milk chocolate M&Ms produced.
7. As a group, count the number of blue M&Ms in your bags and the total number of M&Ms in your bags.
9. Record your group's results:
11. x = number of blue M&Ms =

n = sample size =

1. You may now eat your M&Ms. (Calories do not count when performing important research.)

Part 2:

Create an 95% confidence interval estimating the population proportion of blue milk chocolate M&Ms.

1.Obtain a point estimate for the proportion of all milk chocolate M&Ms that are blue. Label your statistic with the correct symbol.

2.List the three requirements for construction of the confidence interval. Have the requirements been met? Support your answer and show any necessary computations in order to receive full credit.

3.Create the 95% confidence interval.

4.Interpret the 95% confidence interval found above using the context of the problem.

Part 3:

Perform a hypothesis test to see whether there is sufficient statistical evidence to support my suspicion about the population proportion of blue milk chocolate M&Ms.

1.Name the parameter you are analyzing, along with the appropriate symbol representing this parameter.

2.State the null and alternative hypotheses.

3.List the three requirements for performing the hypothesis test. Have the requirements been met? Support your answer and show any necessary computations in order to receive full credit.

4.Find the test statistic and write it below. Explain in detail what the test statistic measures, in the context of the problem.

5.Find the P-value and write it below. Explain in detail what the P-value measures, in the context of the problem. (I am not asking you how to use the P-value; you will use the P-value when you answer #6. Instead, demonstrate that you understand what probability the P-value represents.)

6.Use your P-value to make a statistical decision about the null hypothesis. Use the a = 0.05 level of significance.

7.Write conclusion in context of the problem - a conclusion that a person who has never studied statistics would understand.