Question

of the grapes in your garden, there are round grapes and shriveled grapes. round is the dominant trait. your expected yield out of 300 grapes is 225 round and 75 shriveled. when you pick them, you count 240 round and 60 shriveled. what is your (x2) value? a 4 b 0.25 c 16 d 225

Explanation:

Step1: Calculate for round grapes

The formula for \(\chi^{2}=\sum\frac{(O - E)^{2}}{E}\), where \(O\) is the observed value and \(E\) is the expected value. For round grapes, \(O = 240\), \(E=225\). Then \(\frac{(240 - 225)^{2}}{225}=\frac{15^{2}}{225}=\frac{225}{225} = 1\)

Step2: Calculate for shriveled grapes

For shriveled grapes, \(O = 60\), \(E = 75\). Then \(\frac{(60 - 75)^{2}}{75}=\frac{(- 15)^{2}}{75}=\frac{225}{75}=3\)

Step3: Sum the two values

\(\chi^{2}=1 + 3=4\)

Answer:

A. 4