INExi questIoN eights (g) of a Sample Bag of Candy The data given to the right includes data from 45 candies, and 9 of them are red. The company that makes the candy claims that 32% 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 32%? Red Blue Brown Green Yellow 0.954 0.925 0.916 0.784 0.996 0.924 0.805 0.742 0.992 0.867 ..... 0.808 0.759 0.954 0.973 0.882 0.735 0.921 Construct a 95% confidence interval estimate of the population percentage of candies that are red. 0.788 0.915 0.989 0.796 0.856 0.807 0.784 0.713 0.731 0.821 0.828 0.795 0.919 %

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**Educational Transcription:**

**Confidence Interval Construction**

The data provided is from a sample of 45 candies, with 9 candies identified as red. The candy manufacturer claims that 32% of their candies are red. Using this sample data, you are tasked with constructing a 95% confidence interval to estimate the percentage of red candies. Based on this analysis, you should determine whether the company's claim of 32% is supported.

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

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

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

**Analysis of Weights in a Sample Bag of Candy**

In addition, there is a table presenting weights (in grams) for a sample bag of candy, distributed across five colors: Red, Blue, Brown, Green, and Yellow. The weights for each color are as follows:

- **Red:** 0.954, 0.924, 0.882, 0.788, 0.796, 0.731, 0.809, 0.785, 0.725
- **Blue:** 0.925, 0.805, 0.808, 0.759, 0.856, 0.821, 0.887, 0.875, 0.702, 0.712
- **Brown:** 0.916, 0.742, 0.954, 0.973, 0.807, 0.828, 0.749, 0.898, 0.777
- **Green:** 0.784, 0.992, 0.735, 0.915, 0.784, 0.795, 0.966
- **Yellow:** 0.996, 0.867, 0.921, 0.989, 0.713, 0.919, 0.884, 0.822, 0.786

This data can be analyzed for measures such as average weight, dispersion, and comparative analysis between the different candy colors.
Transcribed Image Text:**Educational Transcription:** **Confidence Interval Construction** The data provided is from a sample of 45 candies, with 9 candies identified as red. The candy manufacturer claims that 32% of their candies are red. Using this sample data, you are tasked with constructing a 95% confidence interval to estimate the percentage of red candies. Based on this analysis, you should determine whether the company's claim of 32% is supported. **Task:** Construct a 95% confidence interval estimate of the population percentage of candies that are red. \[ \_\_\_\_% < p < \_\_\_\_% \] (Type an integer or decimal rounded to one decimal place as needed.) **Analysis of Weights in a Sample Bag of Candy** In addition, there is a table presenting weights (in grams) for a sample bag of candy, distributed across five colors: Red, Blue, Brown, Green, and Yellow. The weights for each color are as follows: - **Red:** 0.954, 0.924, 0.882, 0.788, 0.796, 0.731, 0.809, 0.785, 0.725 - **Blue:** 0.925, 0.805, 0.808, 0.759, 0.856, 0.821, 0.887, 0.875, 0.702, 0.712 - **Brown:** 0.916, 0.742, 0.954, 0.973, 0.807, 0.828, 0.749, 0.898, 0.777 - **Green:** 0.784, 0.992, 0.735, 0.915, 0.784, 0.795, 0.966 - **Yellow:** 0.996, 0.867, 0.921, 0.989, 0.713, 0.919, 0.884, 0.822, 0.786 This data can be analyzed for measures such as average weight, dispersion, and comparative analysis between the different candy colors.
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