DNA consists of the four bases: A, C, G, and T. In a particular DNA region of 1000 bases the following counts of each of these bases was observed: A - 208, C - 291, G - 303, T - 198. A geneticist believes that in this region the probability of observing an A is equal to the probability of observing a T, and they are both 0.2. The probability of observing a C is equal to the probability of observing a G, and they are both 0.3. Perform a chi-squared goodness-of-fit test to test the null hypothesis that there is no significant difference between the observed data and the proposed model versus the alternative that the data differs significantly from the proposed model. What is your conclusion at the    alpha= 0.1 level and what is the p-value of this test?   A)Fail to reject the null hypothesis and the p-value is 0.8872 B)Reject the null hypothesis and the p-value is 0.8872 C)Fail to reject the null hypothesis and the p-value is 8.127 x 10-8 D)Reject the null hypothesis and the p-value is 8.127 x 10-8

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DNA consists of the four bases: A, C, G, and T. In a particular DNA region of 1000 bases the following counts of each of these bases was observed: A - 208, C - 291, G - 303, T - 198. A geneticist believes that in this region the probability of observing an A is equal to the probability of observing a T, and they are both 0.2. The probability of observing a C is equal to the probability of observing a G, and they are both 0.3. Perform a chi-squared goodness-of-fit test to test the null hypothesis that there is no significant difference between the observed data and the proposed model versus the alternative that the data differs significantly from the proposed model.
What is your conclusion at the 
 
alpha= 0.1 level and what is the p-value of this test?
 
A)Fail to reject the null hypothesis and the p-value is 0.8872
B)Reject the null hypothesis and the p-value is 0.8872
C)Fail to reject the null hypothesis and the p-value is 8.127 x 10-8
D)Reject the null hypothesis and the p-value is 8.127 x 10-8
 
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