Question

He goodness of fit is measured by χ2. This statistic measures the amounts by which the observed values differ from their respective predictions to indicate how closely the two sets of values match.

The formula for calculating this value is
χ^2=∑(o−e)^2/e
where o = observed and e = expected.
The expected and observed data have been entered into the table below. Carry out the operations indicated in the top row. In the last column, enter your answers to two decimal places. Then add up the entries in the last column to find the χ^2 value.

Answer 1

Explanation:

Hello!

Table is attached.

1) Purple stem/short petals.

(o-e)= 220-225= -5

(o-e)²= (-5)²= 25

(o-e)²/e= 25/225= 1/9

2) Green stem/short petals

(o-e)= 210-225= -15

(o-e)²= (-15)²= 225

(o-e)²/e= 225/225= 1

3) Purple stem/ long petals

(o-e)= 231-225= 6

(o-e)²= (6)²= 36

(o-e)²/e= 36/225= 4/25

4) Green stem/ long petals

(o-e)= 239-225= 14

(o-e)²= (14)²= 196

(o-e)²/e= 196/225 (≅ 0.871)

To reach the statistic value you have to add the four values obtained in the last row:

X²= 1/9+1+4/25+196/225= 482/225≅ 2.142

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