would 1.96 instead of the 1.95 give you the correct answer?
1.96 is right, but your error is minimal.
The following question i am having difficulties solving.
In certain water-quality studies, it is important to check for the presence or absence of various types of micro-organisms. Suppose that 20 out of 100 randomly selected
samples of a fixed volume show the presence of a particular micro-organism.
(a) Estimate the true probability of finding this micro-organism in a sample of the
same volume, using a 95% confidence interval.
i know that 20/100 = .20 shows the presence of a particular micro-organism and .80 does not.
the confident interval is .95%
so i get something like this
however this is incorrect
(b) Can it reasonably be said that there is only a 10% chance that a sample of the
given volume will contain the micro-organism?