A florist wants to determine if a new additive would help extend the life of cut flowers longer than the
original additive. The florist randomly selects 20
carnations and randomly assigns 10 to the new
additive and 10 to the original additive. After three
weeks, 6 carnations placed in the new additive still
looked healthy and 2 carnations placed in the original
additive still looked healthy. The difference in
proportions (new - original) for the carnations that still
looked healthy after three weeks was 0.4. Assuming
there is no difference in the additives, 200 simulated
differences in sample proportions are displayed in the
dotplot.