Question

A genetic model suggests that 80% of plants grown from a cross between two given strains of seeds will be of the dwarf variety. After breeding a sample of of these plants, 153 were observed to be of the dwarf variety. Suppose that we do a hypothesis test to see if the sample results strongly contradict the genetic model and find the p-value to be 0.0188. What is the meaning of this p-value?

(A) If the genetic model is correct, it is very unlikely (probability 0.0188) to obtain exactly 153 plants of the dwarf variety in the given sample.

(B) The p-value of 0.0188 is the probability of making a Type II error.

(C) If the genetic model is correct, it is very unlikely (probability 0.0188) to obtain 153 or more plants of the dwarf variety in the given sample.

(D) If the genetic model is not correct, it is very unlikely (probability 0.0188) to obtain 153 or more plants of the dwarf variety in the given sample.

(E) The p-value of 0.0188 is the probability of making a Type I error. (

F) The p-value of 0.0188 is the probability of making a wrong decision. (G) If the genetic model is not correct, it is very unlikely (probability 0.0188) to obtain exactly 153 plants of the dwarf variety in the given sample.

Answer 1

The p_value is the probability of obtaining the test result at least as extreme as the results actually observed during the test by assuming that the null hypothesis is correct.

Here p_valie is not so good in favour of the null hypothesis, therefore the correct answer is

C) the genetic model is correct, it is very unlikely (probability 0.0188) to obtain 153 or more plants of the dwarf variety in the given sample.