1. Pat is a phycologist interested in determining the proportion of algae samples from a local, small stream that belong to a particular phylum. A random sample of 50 alga were obtained and each was categorized as either being cyanobacteria or not.It was found that 38 were, in fact, cyanobacteria.

1. *(1 point) What is the proportionthat were cyanobacteria?

38/50? is this correct

1. *(1 point) What is the (sample estimate for the) standard error of the proportionthat were cyanobacteria?

I am still unsure of how to calculate this

1. *(1 point) What is the 95% confidence interval for the proportion of algae in the local stream that are cyanobacteria?

1. *(1 point) What is the interpretation of the 95% confidence interval you computed in part C?

1. *(1 point) Without relying on any previous knowledge Pat wanted to estimate the proportion of algae in the local stream that were cyanobacteria with a margin of error of at most 0.01 (1%) in a 95% confidence interval.How large a sample size would be required?