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

step 1: nitrogen fixation- conversion of atmospheric no₂ into forms useful to plants by lightning, bacteria, and cyanobacteria.

step 2: nitrification-process of converting ammonia to nitrite or nitrate.

step 3: assimilation-plant roots absorb new form of nitrogen.

step 4: ammonification-conversion of organic nitrogen to ammonia by bacteria involved in decomposition.

step 5: denitrification-bacteria turns the decomposed matter back into n₂o, which is released into atmosphere; repeat cycle.