Compute E4 accurate to two decimalsRound to the nearest hund

Compute E4 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

Compute E4 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 0.16

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