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Is the result consistent with the 31% rate that is reported by the candy maker?

Is the result consistent with the 31% rate that is reported by the candy maker?

PREALGEBRA
PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.5: Averages And Probability
Problem 400E: The cash register receipts each day last week at a coffee shop were $1,845. $1,520. $1,438, $1,682,...
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Use the data in the table to the right to answer the following questions. Weights (g) of a Sample Bag of Candy Red Blue Brown Green Yellow 0.924 0.947 0.987 0.849 0.948 0.917 0.999 0.742 0.858 0.885 0.813 0.901 0.848 0.703 0.887 0.972 0.908 Find the sample proportion of candy that are red. 0.907 0.706 0.852 0.959 0.907 0.824 0.907 0.798 0.861 The proportion of red candy = 119 (Type an integer or decimal rounded to three decimal places as needed.) 0.791 0.786 0.774 0.932 0.897 0.708 0.945 Use that result to construct a 90% confidence interval estimate of the population percentage of candy that are red. 0.772 0.717 0.829 0.768 0.898 0.773 0.884 0.797 3.7 % <p< 20.1 % (Type an integer or decimal rounded to one decimal place as needed.) 0.799 Is the result consistent with the 31% rate that is reported by the candy maker? Yes, because the confidence interval includes 31%. No, because the confidence interval does not include 31%.
Transcribed Image Text:Use the data in the table to the right to answer the following questions. Weights (g) of a Sample Bag of Candy Red Blue Brown Green Yellow 0.924 0.947 0.987 0.849 0.948 0.917 0.999 0.742 0.858 0.885 0.813 0.901 0.848 0.703 0.887 0.972 0.908 Find the sample proportion of candy that are red. 0.907 0.706 0.852 0.959 0.907 0.824 0.907 0.798 0.861 The proportion of red candy = 119 (Type an integer or decimal rounded to three decimal places as needed.) 0.791 0.786 0.774 0.932 0.897 0.708 0.945 Use that result to construct a 90% confidence interval estimate of the population percentage of candy that are red. 0.772 0.717 0.829 0.768 0.898 0.773 0.884 0.797 3.7 % <p< 20.1 % (Type an integer or decimal rounded to one decimal place as needed.) 0.799 Is the result consistent with the 31% rate that is reported by the candy maker? Yes, because the confidence interval includes 31%. No, because the confidence interval does not include 31%.
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