
The Fish and Game Department stocked Lake Lulu with fish in the following proportions: 31% catfish, 14% bass, 41% bluegill, and 14% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 503 fishes in the sample were distributed as follows
Type of fish | Observed caught |
---|---|
catfish | 120 |
bass | 86 |
bluegill | 221 |
pike | 76 |
A) The sample has degree of freedom:
��=
B) The expected count of catfish category is:
�=
C) Accurate to 2 decimal places, the component value of catfish category is:
component=
D) �2 value of this sample is:
�2=
E) At significance level 0.05, is the sample showing strong evidence suggesting that at least one proportion claimed by the Fish and Game Department has changed in 5 years? Use 4 decimal places for �-value.
- Yes
- No
F) The �-value for this sample was:


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