Question

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 520 peas with 140 of them having yellow pods. Find the value of the test statistic.

Answer 1

Test statistic = z = 1.01264

Explanation:

p = 0.25

q = 1 - p = 0.75

n = 520

x = 140

`psample = (x)/(n) = (140)/(520) = 0.26923`

`z = \frac{psample - p}{\sqrt{(p*q)/(n) } } =\frac{0.26923 - 0.25}{\sqrt{(0.25 * 0.75 )/(520) } } = \frac{0.01923}{\sqrt{(0.1875)/(520) } } = (0.01923)/(\ 0.01899) = 1.01264`