Help with number 5 please **6.6 Activity 19: Two Sample Inference for Proportions****Objective:** The objective of this activity is to gain experience with hypothesis testing for comparing two proportions from independent populations. We will do this by considering the distribution of colors for Skittles and M&M’s candies.**Topics covered:**1. Contingency tables2. Two sample hypothesis test for the difference in population proportions3. Two sample confidence interval for the difference in population proportions4. Duality between confidence intervals and hypothesis testingThe 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.** \[ H_0: p^1 = p^2 \] \[ H_a: p^1 \neq p^2 \]2. 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:** 8 - **Total Number of Candy Pieces:** 42 **Transcription for Educational Website**---### Combining Class Data in a TableIn the table below, class data is combined based on observations of two types of candy: Skittles (S) and M&M’s (M). Each observation includes the number of orange pieces and the total number of pieces.| Observation (Bag) | Type of Candy | No. of Orange | Total No. of Pieces | Observation (Bag) | Type of Candy | No. of Orange | Total No. of Pieces ||-------------------|---------------|---------------|---------------------|-------------------|---------------|---------------|---------------------|| 1 | S | 9 | 36 | 19 | M | 16 | 41 || 2 | S | 9 | 47 | 20 | M | 18 | 48 || 3 | S | 12 | 48 | 21 | M | 8 | 42 || 4 | S | 11 | 50 | 22 | M | 12 | 44 || 5 | S | 9 | 53 | 23 | M | 15 | 45 || 6 | S | 5 | 52 | 24 | M | 9 | 38 || 7 | S | 12 | 49 | | | | |### Contingency TableThe contingency table below shows the number of observations that fall into each combination of categories:| Candy | Outcome | Row Totals ||---------|-------------|------------|| | Orange | Not Orange | || Skittles (S) | 61 | 212 | 273 || M&M’s (M) | 71 | 231 | 302 || **Column Totals** | **132** | **443** | **531** |### Estimation and Analysis**5. Compute the Point Estimate**The point estimate for the difference in the proportion of orange-colored pieces between the two brands is calculated as follows:- Proportion for Skittles: \( \frac{61}{273} =

Answered: 5. Compute the point estimate for the…

5. Compute the point estimate for the difference in the proportion of orange colored pieces between the two brands. 0.22371 = 0.275 208 32

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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