6.6 Activity 19: Two Sample Inference for Proportions proportions from independent populations. We will do this by considering the distribution of colors Objective: The objective of this activity is to gain experience with hypothesis testing for comparing two for Skittles and M&M's candies. 1. Contingency tables 2. Two sample hypothesis test for the difference in population proportions 3. Two sample confidence interval for the difference in population proportions 4. Duality between confidence intervals and hypothesis testing The purpose of this activity is to compare the proportion of orange colored candy pieces between Skittles and M&M's. Our claim is that the proportion of orange colored pieces is the same for Skittles and M&M's. Therefore, we will collect data to test if there is enough evidence to refute our claim. 1. State the hypotheses for our research claim. Your teacher will randomly give around half of the students a bag of Skittles and the other half a bag of M&M's. Each student should open the bag and count the number of orange colored candy pieces. In addition, the total number of candy pieces in each bag should be counted. Report your information in the table below. Type of Candy (Circle One): Skittles (S) or M&M's (M) Number of Orange Colored Pieces: Total Number of Candy Pieces:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.