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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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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