In: Statistics and Probability
A scientist conducted a hybridization experiment using peas with green pods and yellow pods. He crossed peas in such a way that 25% (or 145) of the 580
offspring peas were expected to have yellow pods. Instead of getting 145 peas with yellow pods, he obtained 150. Assume that the rate of 25% is correct.
a. Find the probability that among the 580 offspring peas, exactly 150 have yellow pods.
b. Find the probability that among the 580 offspring peas, at least 150 have yellow pods.
c. Which result is useful for determining whether the claimed rate of 25% is incorrect? (Part (a) or part (b)?)
d. Is there strong evidence to suggest that the rate of 25% is incorrect?