# A phycologist is interested in determining the proportion of algae samples from a local rivulet that...

###### Question:

A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyla, and he believes they should be uniformly distributed. A random sample of 60 algae were obtained, and each was categorized as being Rhodophyta, Chlorophyta, or Heterokontophyta. The observed counts were 35, 15, and 10, respectively.

1. The null hypothesis is

A. H0:p1=3560,p2=1560,p3=1060H0:p1=3560,p2=1560,p3=1060

B. H0:p1=p2=p3=13H0:p1=p2=p3=13

C. H0:H0: at least one of the proportions is different

D. H0:p1=135,p2=115,p3=110H0:p1=135,p2=115,p3=110

2. The alternative hypothesis is

A. Ha:p1=p2=p3=13Ha:p1=p2=p3=13

B. Ha:Ha:at least one of the proportions is different

C. Ha:p1?13,p2?13,p3?13Ha:p1?13,p2?13,p3?13

D. Ha:p1?1550,p2?2550,p3?1050Ha:p1?1550,p2?2550,p3?1050

Under the null hypothesis, the expected number of algae samples that would be categorized as Chlorophyta would be ______

When determining the p-value, the phycologist would use ______ degrees of freedom.