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 p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random sample of 200 plants yields X2 = 5.08. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = 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 H0. There is convincing evidence that the researcher's theory is incorrect. Reject H0. There is not convincing evidence that the researcher's theory is incorrect. Reject H0. There is convincing evidence that the researcher's theory is incorrect. Fail to reject H0. 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 X2. How would your analysis and conclusion differ from those in part (a)? 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. The analysis and conclusion would not change. 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.
a) here for (categories-1=2) degree of freedom and 0.05 level , critical value =5.991
b)
A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes)....
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 p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random sample of 200 plants yields X2 = 5.01. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = 0.05. What is the critical value for the test? (Round your...
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...
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, P, = 0.50, and p = 0.25. A random sample of 200 plants yields x2 = 5.27. (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...
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, P, = 0.50, and p, -0.25. A random sample of 200 plants yields x2 = 5.27. (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...
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 hypothesied proportions are P, -0.25, P2 - 0.50, and P, -0.25. A random sample of 200 plants yields - 4.72 (a) Carry out a test of the hull hypothesis that the theory is correct, using level of significance - 0.05. What is the critical value for the test? (Round your answer to two decimal...
A certain genetic characteristic of a particular plant can appear in one of the forms Cohen types). A researcher has developed a theory according to which the hypothesized proportions are P, -0.25.-6.50, and "0.25. A random sample of 200 plant yields x2.5.15. (a) Carry out a best of the null hypothesis that the theory is correcting level of significance 0.05. What the critical value for the test round your answer to two decimal places) Critical Value State the conclusion in...
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 p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random sample of 200 plants yields χ2 = 5.29. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = 0.05. What is the P-value for the test? (Use technology to...
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 p1 = .25, p2 = .50, and p3 = .25. A random sample of 200 plants yields χ2 = 4.68. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = .05. (Round your answer to three decimal places.) P-value =
Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior of 1-day-old bobwhites. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird's first peck was noted for each of 33 bobwhites, resulting in the accompanying table. Color First Peck Frequency Blue 15 Green 8 Yellow 7 Red 3 Do these data provide evidence of a color...
Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior of 1-day-old bobwhites. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird's first peck was noted for each of 35 bobwhites, resulting in the accompanying table. Color First Peck Frequency Blue 15 Green 9 Yellow 7 Red 4 Do these data provide evidence of a color...