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 480 480 peas with 127 127 of them having yellow pods. find the value of the test statistic.

Answer 1

p = 0.25

q = 1 - p = 0.75

x = 127

n = 480

psample = x/n = 127/480 = 0.2645

test statistic, z = (psample - p) / sqrt(pq/n) = (0.2645 - 0.25) / sqrt(0.25×0.75/480) = 0.733