A certain genetic characteristic of a particular plant can appear in one of thre

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 2 = 5.06.

(a) Carry out a test of the null hypothesis that the theory is correct, using level of significance = .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 2. 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 conclusions 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.

Explanation / Answer

a) for (n-1=2) degree of freedom and above test statistic p vlaue =0.080

as p value is higher than 0.05 level

There is insufficient evidence to reject H0.

b)The new analysis would not yield a significant result and the null hypothesis would fail to be rejected

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