A Phycologist Is Interested in Determining the Proportion of Algae

A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. The researcher found that 38 samples were, in fact, cyanobacteria. What is the standard error SE^p̂ of the proportion p̂ of the algae that were cyanobacteria?

A) 0.0604
B) 0.0036
C) 0.1824
D) 0.5000