How to answer this question step by step please. The offspring produced between

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How to answer this question step by step please.

The offspring produced between two given types of plants can be any of the three genotypes, denoted by A, B and C. A theoretical model of gene inheritance suggests that the offspring of types A, B and C should be in a 1:2:1 ratio (meaning 25% A, 50% B, and 25% C). For experimental verification, 100 plants are bred by crossing the two given types. Their genetic classifications are recorded in the table below. Do these contradict the genetic model? Use a 0.05 level of significance. Determine the chi-square test statistic. 2.62 128.75 0 3.32

Explanation / Answer

Doing an observed/expected value table, as ratio is 1:2:1 for the 100 cases, then the expected values are 25-50-25:

      
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    2.62 [ANSWER, A]

O E (O - E)^2/E 18 25 1.96 55 50 0.5 27 25 0.16

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