sample_props_small often has fewer than the requested 25 elements.

The call to
filter(scientist_work == "Doesn't benefit")
is filtering out any replicates where there are no "Doesn't benefit"s in the small sample. As a result any replicates with p_hat=0 are filtered out and are not displayed.

This issue is caused by using a small sample size and a true proportion close to 0 (p=.2).