Question list Question 7 O Question 8 O Question 9 K The data given to the right includes data from 42 candies, and 7 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%? Construct a 95% confidence interval estimate of the population percentage of candies that are red. (Type an integer or decimal rounded to one decimal place as needed.) Red 0.826 0.985 0.751 0.821 0.757 0.746 0.793 Weights (g) of a Sample Bag of Candy Brown Green 0.841 0.778 0.713 0.803 0.878 0.814 0.889 0.795 0.821 0.909 0.774 0.702 0.981 Blue 0.829 0.952 0.998 0.837 0.971 0.763 0.843 0.723 0.778 0.944 0.915 0.764 0.994 0.887 0.942 0.906 Yellow 0.867 0.944 0.783 0.706 0.815 0.729

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**Question List**

- Question 7
- Question 8
- Question 9

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**Data Analysis Task**

The data provided includes information from 42 candies, with 7 being red. The candy manufacturer claims that 29% of its candies are red. Using the sample data, construct a 95% confidence interval to estimate the percentage of red candies. Consider the validity of the 29% 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.)*

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**Weights (g) of a Sample Bag of Candy**

| Red  | Blue | Brown | Green | Yellow |
|------|------|-------|-------|--------|
| 0.826 | 0.829 | 0.841 | 0.778 | 0.867 |
| 0.985 | 0.952 | 0.713 | 0.803 | 0.944 |
| 0.751 | 0.998 | 0.878 | 0.814 | 0.783 |
| 0.821 | 0.837 | 0.764 | 0.899 | 0.706 |
| 0.757 | 0.971 | 0.904 | 0.795 | 0.815 |
| 0.746 | 0.763 | 0.987 | 0.821 | 0.729 |
| 0.793 | 0.843 | 0.942 | 0.909 |        |
|        | 0.778 | 0.906 | 0.774 |        |
|        | 0.944 |        | 0.702 |        |
|        | 0.915 |        | 0.981 |        |

The table illustrates the weights in grams for a selection of candies by color, informing about potential variances in candy composition by color.
Transcribed Image Text:**Question List** - Question 7 - Question 8 - Question 9 --- **Data Analysis Task** The data provided includes information from 42 candies, with 7 being red. The candy manufacturer claims that 29% of its candies are red. Using the sample data, construct a 95% confidence interval to estimate the percentage of red candies. Consider the validity of the 29% 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.)* --- **Weights (g) of a Sample Bag of Candy** | Red | Blue | Brown | Green | Yellow | |------|------|-------|-------|--------| | 0.826 | 0.829 | 0.841 | 0.778 | 0.867 | | 0.985 | 0.952 | 0.713 | 0.803 | 0.944 | | 0.751 | 0.998 | 0.878 | 0.814 | 0.783 | | 0.821 | 0.837 | 0.764 | 0.899 | 0.706 | | 0.757 | 0.971 | 0.904 | 0.795 | 0.815 | | 0.746 | 0.763 | 0.987 | 0.821 | 0.729 | | 0.793 | 0.843 | 0.942 | 0.909 | | | | 0.778 | 0.906 | 0.774 | | | | 0.944 | | 0.702 | | | | 0.915 | | 0.981 | | The table illustrates the weights in grams for a selection of candies by color, informing about potential variances in candy composition by color.
Expert Solution
Step 1: Given information

sample size (n)= 42

number of red candies (x) =7

want to construct a 95% confidence interval for proportion and comment on the claim.


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