The data given to the right includes data from 32 candies, and 5 of them are red. The company that makes the candy claims that 29% 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 29%? C…... Construct a 95% confidence interval estimate of the population percentage of candies that are red. %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The data provided includes information from 32 candies, with 5 being red. The candy company claims that 29% of its candies are red. Using the sample data, you are tasked to construct a 95% confidence interval estimate of the percentage of red candies to evaluate the claim. 

### Task:
Construct a 95% confidence interval to estimate the population percentage of candies that are red.

\[ \_\_\_\_ \% < p < \_\_\_\_ \% \]

*Type an integer or decimal rounded to one decimal place as needed.*

### Question:
Is the result consistent with the 29% rate claimed by the candy manufacturer?

- [ ] No, because the confidence interval does not include 29%.
- [ ] Yes, because the confidence interval includes 29%.

### Additional Data:
A table lists the weights (in grams) of a sample bag of candy, split by color:

|   Red   |  Blue  | Brown | Green | Yellow |
|:-------:|:------:|:-----:|:-----:|:------:|
| 0.957 | 0.729 | 0.806 | 0.758 | 0.866 |
| 0.836 | 0.781 | 0.936 | 0.765 | 0.855 |
| 0.963 | 0.972 | 0.708 | 0.783 | 0.705 |
| 0.957 | 0.869 | 0.799 | 0.896 | 0.813 |
| 0.757 | 0.832 | 0.909 | 0.915 | 0.705 |
| 0.878 | 0.925 | 0.707 | 0.928 | 0.811 |
|        |        |        | 0.735 | 0.824 | 

Use this data to analyze the consistency of the company's claim with the actual distribution.
Transcribed Image Text:The data provided includes information from 32 candies, with 5 being red. The candy company claims that 29% of its candies are red. Using the sample data, you are tasked to construct a 95% confidence interval estimate of the percentage of red candies to evaluate the claim. ### Task: Construct a 95% confidence interval to estimate the population percentage of candies that are red. \[ \_\_\_\_ \% < p < \_\_\_\_ \% \] *Type an integer or decimal rounded to one decimal place as needed.* ### Question: Is the result consistent with the 29% rate claimed by the candy manufacturer? - [ ] No, because the confidence interval does not include 29%. - [ ] Yes, because the confidence interval includes 29%. ### Additional Data: A table lists the weights (in grams) of a sample bag of candy, split by color: | Red | Blue | Brown | Green | Yellow | |:-------:|:------:|:-----:|:-----:|:------:| | 0.957 | 0.729 | 0.806 | 0.758 | 0.866 | | 0.836 | 0.781 | 0.936 | 0.765 | 0.855 | | 0.963 | 0.972 | 0.708 | 0.783 | 0.705 | | 0.957 | 0.869 | 0.799 | 0.896 | 0.813 | | 0.757 | 0.832 | 0.909 | 0.915 | 0.705 | | 0.878 | 0.925 | 0.707 | 0.928 | 0.811 | | | | | 0.735 | 0.824 | Use this data to analyze the consistency of the company's claim with the actual distribution.
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