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 p₁ = .25, p₂ = .50, and p₃ = .25. A random sample of 200 plants yields χ² = 5.03.

(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 =

What can you conclude?

There is sufficient evidence to reject H₀.There is insufficient evidence to reject H₀.    

(b) Suppose that a random sample of 300 plants had resulted in the same value of χ². 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 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 conclusions would not change.

Answer 1