A marine biologist is studying the density of mussels in a t

A marine biologist is studying the density of mussels in a tidal basin; she expects to see the molluscs in densities with the ratio of 4:2:2:1 in the submerged, intertidal, tide pool, and high tide regions. She counts mussels in a randomly-selected quadrat of each region with the following results: (a) Find the expected number of mussels in each habitat. (b) Use a chi-square goodness of fit test with alpha = 0.05 to determine whether the mussel population fits the expected profile.

Solution

H0: Ratios are 4:2:2:1

Ha: Ratios are not as above.

Df - 3

The P-Value is 0.996716. The result is not significant at p < 0.05.

Hence accept null hypothesis.

Expected profile is right and difference is not significant.

chi square	120	53	71	44	288
Expected	128	64	64	32	288
chi square	0.053677