Question

In: Biology

Assume that a cross is made between a heterozygous tall pea plant and a homozygous short...

Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced in the following frequency: 30 = tall 20 = short

(a) What frequency of tall and short plants is expected?

(b) To test the goodness of fit between the observed and expected values, provide the needed statement of the null hypothesis.

(c) Compute a Chi-square value associated with the appropriate test of significance.

(d) How many degrees of freedom are associated with this test of significance?

Solutions

Expert Solution

Gregor Mendel was a nineteenth century cleric and botanist who built up the crucial laws of legacy. The year 2000 denoted a century since the rediscovery of those laws and the start of hereditary qualities. In spite of the fact that Mendel is currently perceived as the originator of hereditary qualities, critical debate resulted about his work all through the twentieth century. In this paper, we audit five of the most argumentative issues by taking a gander at the verifiable record through the perspective of current natural science:

(observed-expected)squared/expected = Chi-squared

So if the expected ratio is 1:1 than the expected tall is 25 and the expected short is 25.

Therefore the calculated Chi-squared value is 1 for tall and 1 for short and the toal calculated Chi-squared is 2.

We can also understand this answer as the following calculation that….

a cross is made between a heterozygous tall pea plant and a homozygous short pea plant.

Fifty offspring are produced in the following frequency:

30 = tall

20 = short

(a) What frequency of tall and short plants is expected?

(a) 1:1 (25 tall and 25 short)

(b) To test the goodness of fit between the observed and expected values, provide the needed stateme (b) The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance. nt of the null hypothesis.

(c) Compute a Chi-square value associated with the appropriate test of significance.

(c) χ2 = 2

(d) How many degrees of freedom are associated with this test of significance?

(d) 1


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