A phycologist is interested in testing the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half. A random sample of 50 alga was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. The test statistic for this hypothesis test is...

The test statistic for this hypothesis test is - 3.68.

Explanation:

A test statistic is a random variable that is calculated from sample data and used in a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis. The test statistic compares your data with what is expected under the null hypothesis.

Sample proportion = 38/50

= 0.76

Hence,

Test statistic

= 3.68