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.

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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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