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In corn, purple kernels (P) are dominant over yellow kernels (p) and starchy ker

ID: 3354448 • Letter: I

Question

In corn, purple kernels (P) are dominant over yellow kernels (p) and starchy kernels (S) are dominant over sugary kernels (s). A corn plant grown from a purple and starchy kernel is crossed with a plant grown from a yellow and sugary kernel. The following progeny (kernels) are produced. Formulate a hypothesis about the genotypes of the parents and offspring in this cross. Perform a chi-sqared test comparing the observed progeny to the numbers expected based on your hypothesis. What conclusion can you draw based on the results of your chi- squared test? Can you suggest an explanation for the observed results? 3. Phenotype Purple;starchy Purple;sugary Yellow;starchy Yellow;sugary Number 150 142 161 115

Explanation / Answer

Nulll hypothesis states that there will be no significant relationship between Phenotype of the parents and the number of offspring.

Alternative hypothesis states that there will be significant relationship between Phenotype of the parents and the number of offspring.

Chi Square formula and calculations :

P

The calculated Chi-square value is = 8.12

The degree of freedom is found by subtracting 1 (one) from the total number of categories in the study. In this case there are four categories of Pronotypes so the degrees of freedom are 4 - 1 = 3

Using Excel =CHIDIST(8.12,3) calculated p-value is 0.0435

The P value is significant as p < 0.05 and we reject the null hypothesis. We conclude that  there will be significant relationship between Phenotype of the parents and the number of offspring.

Hope this will be helpful. Thanks and God Bless You :-)

P

O E (O-E) (O-E)^2 (O-E)^2/E Purple, starchy 150 142 8 64 0.45070423 Purple, sugary 142 142 0 0 0 yellow,starchy 161 142 19 361 2.54225352 yellow, sugary 115 142 -27 729 5.13380282 Total 568 568 0 1154 8.12676056
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