The data given to the right includes data from 40 candies, and 5 of them are red. The company that makes the candy claims that 33% of its candies are red. Use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 33%? Construct a 95% confidence interval estimate of the population percentage of candies that are red. %
The data given to the right includes data from 40 candies, and 5 of them are red. The company that makes the candy claims that 33% of its candies are red. Use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 33%? Construct a 95% confidence interval estimate of the population percentage of candies that are red. %
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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Transcribed Image Text:The image contains statistical data and instructions for constructing a 95% confidence interval. Here's a detailed transcription as might appear on an educational website:
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### Constructing a 95% Confidence Interval for Candy Color Distribution
**Context:**
The data includes information from a sample of 40 candies, out of which 5 are red. The candy company claims that 33% of its candies are red. The challenge is to use the sample data to construct a 95% confidence interval and verify the company's claim regarding the percentage of red candies.
**Task:**
Construct a 95% confidence interval estimate of the population percentage of candies that are red.
**Calculation:**
- \( \_\_\_\_ \% < p < \_\_\_\_ \% \)
- (Type an integer or decimal rounded to one decimal place as needed.)
**Evaluation:**
"Is the result consistent with the 33% rate that is reported by the candy maker?"
- Options:
- Yes, because the confidence interval includes 33%.
- No, because the confidence interval does not include 33%.
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**Additional Data:**
The table on the right provides the weights (in grams) of a sample bag of candy, categorized by color:
- **Red:**
- 0.934, 0.993, 0.749, 0.882, 0.991
- **Blue:**
- 0.759, 0.712, 0.833, 0.709, 0.894
- **Brown:**
- 0.935, 0.899, 0.718, 0.941, 0.867
- **Green:**
- 0.957, 0.979, 0.987, 0.926, 0.827
- **Yellow:**
- 0.723, 0.709, 0.749, 0.745, 0.905, 0.979, 0.817, 0.987
**Graph/Diagram Explanation:**
The table serves as supporting data for evaluating the proportion of red candies and other colors by showcasing the variation in their weights.
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