**Educational Text: Confidence Interval for Red Candies**The data given includes information from a sample of 42 candies, of which 10 are red. The candy company claims that 30% of its candies are red. Using this sample data, construct a 95% confidence interval estimate for the percentage of red candies. Analyze the confidence interval to determine whether it supports the company's claim of 30%.**Constructing the Confidence Interval:**To calculate the 95% confidence interval for the population percentage of red candies, follow these steps:1. **Proportion of Red Candies in Sample:** - Sample Proportion (\( \hat{p} \)) = Number of Red Candies / Total Candies = 10/42 2. **Calculation of Confidence Interval:** - Use standard formulas for a confidence interval for a proportion.3. **Interval Estimate:** - \( \_\_\_\_ \% < p < \_\_\_\_ \% \)*Insert the values in the blanks with integers or decimals rounded to one decimal place as needed.***Weights of a Sample Bag of Candy:**The table below shows the weights (in grams) of candies grouped by color:| Red | Blue | Brown | Green | Yellow ||------|------|-------|-------|--------|| 0.879 | 0.949 | 0.925 | 0.882 | 0.888 || 0.932 | 0.825 | 0.704 | 0.884 | 0.745 || 0.831 | 0.706 | 0.817 | 0.815 | 0.718 || 0.709 | 0.928 | 0.912 | 0.863 | 0.765 || 0.954 | 0.716 | 0.885 | 0.868 | 0.964 || 0.758 | 0.734 | 0.925 | 0.927 | - || 0.928 | 0.705 | 0.816 | 0.712 | - || 0.933 | 0.985 | - | 0.785 | - || 0.894 | 0.971 | - | 0.805 | - || 0.916 | -

Sample size n=42Favorable cases x=10Sample proportion p^=x/n=10/42=0.2381

Answered: The data given to the right includes…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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