Question

A deep sea fisherman catches four different types of fish that he then sells to restaurants and grocery stores to make a living. Out of the total amount of fish he catches every month, historically 30% are Blackfin Tuna, 15% are Yellowfin Tuna, 20% are Spanish Mackerel, and 35% are Wahoo.

This past month out of the 1,000 fish he caught, 20% were Blackfin Tuna, 25% were Yellowfin Tuna, 10% were Spanish Mackerel, and 45% were Wahoo.

What is the appropriate test statistic? Please round to 2 decimal places as needed.

Answer 1

We are given here that:
P( Blackfin Tuna) = 0.3
P(  Yellowfin Tuna) = 0.15
P (Spanish Mackerel ) = 0.2
P( Wahoo) = 0.35

The appropriate test statistic here is computed as the chi square test statistic. This is computed here as:

Where O_i is the observed value and E_i is the expected value.

Therefore 178.57 is the test statistic value here.