The claim is that the proportion of peas with yellow pods is

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 500 peas with 117 of them having yellow pods. Find the value of the test statistic.

Solution

mean = 0.25

proportion of success p= 117/420 =

standard error = sqrt( p * (1-p) /n)

= sqrt(117/420 * 303/420 / 420)

= 0.0219

test statistic = p - mean /standard error

= 117/420 - 0.25 / 0.0219

=1.305