8 pts. You would like to breed two heterozygous overo paint horses (pictured). W

Question

8 pts. You would like to breed two heterozygous overo paint horses (pictured). While you're new to the business, you have heard that the overo gene (H) is autosomal dominant. You were delighted because coat color on these horses, which is basically white patches of fur on a black bac biology, you decided to see if this model of paint coat color inheritance was corre looked at the records from the Internation Paint Horse Association and you really liked the ct by using a X 2 test, You went and found the following records from similar crosses: Paint horses Sotid bfack horses 272 128 X2 10.4 NOTE: I'm giving you the X2 value-you don't have to compute it! You do NOT need a calculotor Based on your bypothesis, what is your expected number of paint and black horses? Paint:-- Black How many degrees of freedom are there Circle the number on the chi-square table that you used for comparison to your x 2 value, Justify you answer Do the data support the hypothesis that the paint coat color is inherited as a simple dominant allele? by explaining how you interpret your results Critical Values of the ? 2 Distribution 0.5 ar 000 000 0016 0.45s 2.706 3.841 5.0246.635 0010 0.051 2 0211 1386 4605 5.991 7.378 9.210 0.216 0584 2.366 6.251 7.815 9.348 11.345 12838 3 0.207 0.484 1.064 3.357 7.779 11.070 12.832 15.086 16.750 5 0.412 0831 1610 4351 9236 1 0676 1.237 2.204 5.348 10.645 12.592 14.449 16.812 18548 6 0.989 1,690 2.833 6.346 12.017 14.067 16.013 18.475 20278 7 1344 2.180 3.490 7344 13.362 15.507 17535 20.090 21.955 8 1.735 2.700 4.168 8.343 14.684 16.919 19023 21.666 23589 9 2.156 3247 4.865 9.342 15.987 18.307 20.483 23.209 25.188 10 7 10

Explanation / Answer

The null and alternate hypothesis is

Null: There is no paint coat color inheritance.

Alternative: The paint coat color inheritance is there.

According to null hypothesis, the numbers of paint horses and solid color horses is 200 and 200.

We have 2 categories so df is equal to 2-1=1

For alpha =0.05 level of significance we have chi-squared at

1 df is 3.841

Our chi-squared value is 10.4

So our test statistics is very large than critical chi-squared value. Thus telling us that there is no relationship between observed and expected values of color. Thus the is a significant effect of genes on color

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