Question

A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes). A researcher has developed a theory, according to which the hypothesized proportions are P, = 0.25, P2 = 0.50, and pg = 0.25. A random sample of 200 plants yields x2 = 4.88. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05. What is the critical value for the test? (Round your answer to two decimal places.) Critical Value - State the conclusion in the problem context. Fail to reject Ho. There is not convincing evidence that the researcher's theory is incorrect. Fail to reject Ho. There is convincing evidence that the researcher's theory is incorrect. Reject Ho. There is convincing evidence that the researcher's theory is incorrect. Reject Ho. There is not convincing evidence that the researcher's theory is incorrect. (b) Suppose that a random sample of 300 plants had resulted in the same value of x. How would your analysis and conclusion differ from those in part (a)? The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would be rejected. The analysis and conclusion would not change. The previous analysis yielded a significant result and the null hypothesis was rejected. The new analysis would not yield a significant result and the null hypothesis would fail to be rejected.

Answer 1

arc three clearly, there n z 3 phenotypes .=) n-1 ofi freedom The degrees 220 of arsd degree de 0.0 0.05) (as Using the critical valrie freedom, x² distribution 99 5. quring table ? 2 25.99, 70 4.88 (b) since, Ho is not rejected. is Ho There Fail to reject evidence that convincing not i incorrect. theory the researchers number of observation (6). Even though the inereases, of phenotypes number clonot donot change =) Critical value change Therefore, .

2. The analysis and conclusion do not change.