Answer:
See the answer below
Explanation:
Using the formula for calculating Chi square ( ):
):
 =
  =   where O = observed frequency and E = expected frequency.
 where O = observed frequency and E = expected frequency.
The observed frequencies for the four phenotypes are 88, 62, 62, and 81 respectively.
For the expected frequency, the phenotypes are supposed to assort in 9:3:3:1 according to Mendel ratio.
Hence, expected frequencies are calculated as:
phenotype (1) = 9/16 x 293 = 164.81
phenotype (2) = 3/16 x 293 = 54.94
phenotype (3) = 3/16 x 293 = 54.94
phenotype (4) = 1/16 x 293 = 18.31
The  is calculated thus:
 is calculated thus:
Phenotype            O               E                             
   1                          88            164.81             = 35.80
 = 35.80
   2                          62             54.94             = 0.91
 = 0.91
   3                           62             54.94               = 0.91
 = 0.91
   4                            81              18.31                = 214.64
 = 214.64
Total  = 35.80 + 0.91 + 0.91 + 214.64 = 252.26
 = 35.80 + 0.91 + 0.91 + 214.64 = 252.26
To the nearest tenth = 252
Degree of freedom = n - 1 = 4- 1 = 3
 tabulated  = 7.815
 tabulated  = 7.815
<em>The calculated </em> <em> exceeds the critical value, hence, the null hypothesis is rejected. The two genes did not assort independently.        </em>
<em> exceeds the critical value, hence, the null hypothesis is rejected. The two genes did not assort independently.        </em>