From the chart determine at the 005 significance level the c

From the chart, determine at the 0.05 significance level the comparative chi-squared value, ?2?=? Give answer accurate to two decimals.Round to the nearest hundredth.

COLOR CLAIMED % EXPECTED OBSERVED OBSERVED % CHI-SQUARE ERROR
RED 0.13 107.25 103 0.125 0.1684
ORANGE 0.2 165 153 0.185 0.8727
YELLOW 0.14 115.5 108 0.131
GREEN 0.16 159 0.193 5.5227
BLUE 0.24 198 201 0.244 0.0455
BROWN 0.13 107.25 101 0.122 0.3642

Solution

CHI-SQUARE ERROR = [(OBSERVED-EXPECTED)^2] / EXPECTED

E4 = x
[(159-x)^2] / x = 5.5227

(159^2) - (2*159*x) + (x^2) = 5.5227x
x^2 - 323.5227x + 25281 = 0
Solving for x
x = 191.5, 132

From the chart, determine at the 0.05 significance level the comparative chi-squared value, ?2?=? Give answer accurate to two decimals.Round to the nearest hund

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