The data given to the right includes data from 40 candies, and 6 of them are red. The company that makes the candy claims that 31% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 31%? Construct a 90% confidence interval estimate of the population percentage of candies that are red. O*

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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Weights (g) of a Sample Bag of Candy
The data given to the right includes data from 40 candies, and 6 of them are red. The company that makes the candy
claims that 31% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the
percentage of red candies. What do you conclude about the claim of 31%?
Brown
Green
Yellow
Red
Blue
0.978
0.987
0.853
0.882
0.898
0.984
0.734
0.954
0.775
0.717
0.832
0.746
0.842
0.823
0.794
Construct a 90% confidence interval estimate of the population percentage of candies that are red.
0.796
0.876
0.704
0.849
0.943
0.901
% <p<%
0.717
0.778
0.836
0,761
0.806
0.954
0.866
(Type an integer or decimal rounded to one decimal place as needed.)
0.866
0.789
0.931
0.972
0.713
0.917
0.921
0.878
0.819
0.754
0.864
0.807
Transcribed Image Text:Weights (g) of a Sample Bag of Candy The data given to the right includes data from 40 candies, and 6 of them are red. The company that makes the candy claims that 31% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 31%? Brown Green Yellow Red Blue 0.978 0.987 0.853 0.882 0.898 0.984 0.734 0.954 0.775 0.717 0.832 0.746 0.842 0.823 0.794 Construct a 90% confidence interval estimate of the population percentage of candies that are red. 0.796 0.876 0.704 0.849 0.943 0.901 % <p<% 0.717 0.778 0.836 0,761 0.806 0.954 0.866 (Type an integer or decimal rounded to one decimal place as needed.) 0.866 0.789 0.931 0.972 0.713 0.917 0.921 0.878 0.819 0.754 0.864 0.807
Is the result consistent with the 31% rate that is reported by the candy maker?
No, because the confidence interval does not include 31%
Yes, because the confidence interval includes 31%
Transcribed Image Text:Is the result consistent with the 31% rate that is reported by the candy maker? No, because the confidence interval does not include 31% Yes, because the confidence interval includes 31%
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