4. Fill in the following contingency table with the number of observations that fall into each com- bination of categories. For example, if there are 100 overall pieces of orange colored Skittles, you would enter 100 into the first cell. Outcome Not Orange (x) 49 83 I l62 Orange Row Totals Skittles (S) M&M's (M) 150 100 250 Candy 17 88 Column Totals 5. Compute the point estimate for the difference in the proportion of orange colored pieces between the two brands.

4. Fill in the following contingency table with the number of observations that fall into each com- bination of categories. For example, if there are 100 overall pieces of orange colored Skittles, you would enter 100 into the first cell. Outcome Not Orange (x) 49 83 I l62 Orange Row Totals Skittles (S) M&M's (M) 150 100 250 Candy 17 88 Column Totals 5. Compute the point estimate for the difference in the proportion of orange colored pieces between the two brands.

Name: #5,6,7 **Combining Data for Analysis**In this section, we will aggrega
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Description: #5,6,7 **Combining Data for Analysis**In this section, we will aggregate your data with that of the class. Below is a table organized by observation number for candy samples. Each entry lists the observation number, type of candy, number of orange ca

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

#5,6,7

**Combining Data for Analysis**

In this section, we will aggregate your data with that of the class. Below is a table organized by observation number for candy samples. Each entry lists the observation number, type of candy, number of orange candies, and total number of pieces.

| Observation (Bag) | Type of Candy | No. of Orange | Total No. of Pieces |
|-------------------|---------------|---------------|---------------------|
| 1 | | | |
| 2 | | | |
| 3 | | | |
| 4 | | | |
| 5 | | | |
| ... | | | |
| 36 | | | |

(Note: The table from the image is currently unfilled and requires data input.)

**Contingency Table**

Next, fill in the following contingency table with observations distributed into different categories. For instance, if there are 100 pieces of orange-colored Skittles, input the number 100 into the appropriate cell.

| Candy | Outcome | Row Totals |
|-------------|-------------|------------|
| | Orange | Not Orange |
| Skittles (S)| 71 | 79 | 150 |
| M&M's (M) | 17 | 83 | 100 |
| Column Totals| 88 | 162 | 250 |

**Point Estimate Calculation**

Finally, compute the point estimate for the difference in the proportion of orange-colored pieces between Skittles and M&M's. Use the data from the contingency table to determine this difference.

---
### Statistical Analysis Exercises

**6. Using the data from the contingency table, obtain the value of the test statistic of our test.**

**7. Calculate the p-value of the test.**

**8. Interpret the p-value.**

**9. State the conclusions of the test in the terms of the problem.**

**10. Based on the hypothesis test alone, do you expect the value 0 to be in a 95% confidence interval for the difference in population proportion of orange colored candies $(p_1 - p_2)$ between the two brands? Explain without computing the interval.**

---

These exercises guide students through key steps in statistical hypothesis testing, focusing on calculations and interpretation of the p-value and drawing conclusions based on statistical evidence.

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