A genetic theory says that a cross between two pink flowering plants will produce red flowering plants a proportion p = 0.25 of the time. To test the theory, 100 crosses are made and 31 of them produce a red flowering plant. Is this evidence that the theory is wrong?
What is the value of the standardized test statistic for this significance test?
A) -1.297.
B) 1.297.
C) -1.386.
D) 1.386.

Question

Quizplus · Accepted Answer

The standardized test statistic is calculated as (p̂ - p) / sqrt(p(1-p)/n), where p̂ is the sample proportion, p is the hypothesized proportion, and n is the sample size. In this case, p̂ = 31/100 = 0.31, p = 0.25, and n = 100. Plugging these values into the formula, we get (0.31 - 0.25) / sqrt(0.25(1-0.25)/100) = 1.386.

A Genetic Theory Says That a Cross Between Two Pink