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The offspring produced by a cross between two given types of plants can be any ...

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The offspring

produced by a cross between two given types of plants can be any of the three

genotypes denoted by A, B, C and D. A theoretical model of gene inheritance

suggests that the offspring of types A, B, C and D should be in the ratio 1:1:1:2.

For experimental verification, 150 plants are bred by crossing the two given

types. Their genetic classifications are recorded as below. Do these data

contradict the genetic model? Test at α=0.05. 

Genotype

A

B

C

D

Frequency

23

32

30

65

a. State the null and alternative hypotheses. [2 marks]

b. Check conditions. [1 mark]

c. What is the formula for the test statistic? [1 mark]

d. Find the value of the test statistic. [3 marks]

e. Find the p-value. [2 marks]

f. Make a decision and state your conclusion in the context of the question. [2 marks]

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