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

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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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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