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Color D E F H I J Proportion 0.13 0.18 0.17 0.21 0.15 0.10 | 0.06 In a random sample of 200 diamonds, the distribution is as follows. Color D E F G H I J Proportion 29 54 45 30 21 18 3 Does this data provide meaningful evidence against the consumer group's claim? Test at a = .01.

Color D E F H I J Proportion 0.13 0.18 0.17 0.21 0.15 0.10 | 0.06 In a random sample of 200 diamonds, the distribution is as follows. Color D E F G H I J Proportion 29 54 45 30 21 18 3 Does this data provide meaningful evidence against the consumer group's claim? Test at a = .01.

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
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Commercial diamonds are rated on a color scale ranging from D (colorless) to Z (light brown), although ratings below J are rare. According to a consumer group, the distribution of diamond colors is Color E F G H J Proportion 0.13 0.18 0.17 0.21 0.15 0.10 0.06 In a random sample of 200 diamonds, the distribution is as follows. Color D E F G H I J Proportion 29 54 45 30 21 3 Does this data provide meaningful evidence against the consumer group's claim? Test at a = .01.
Transcribed Image Text:Commercial diamonds are rated on a color scale ranging from D (colorless) to Z (light brown), although ratings below J are rare. According to a consumer group, the distribution of diamond colors is Color E F G H J Proportion 0.13 0.18 0.17 0.21 0.15 0.10 0.06 In a random sample of 200 diamonds, the distribution is as follows. Color D E F G H I J Proportion 29 54 45 30 21 3 Does this data provide meaningful evidence against the consumer group's claim? Test at a = .01.
Expert Solution
Working
% O Expected value (O-E)^2 (O-E)^2/E
0.13 29 26 9 0.346154
0.18 54 36 324 9
0.17 45 34 121 3.558824
0.21 30 42 144 3.428571
0.15 21 30 81 2.7
0.1 18 20 4 0.2
0.06 3 12 81 6.75
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