Question

1. The two claws of the lobster (Homarus americanus) are identical in the juvenile stages. By adulthood, however, the two claws normally have differentiated into a stout claw called a “crusher” and a slender claw called a “cutter”. In a study of the differentiation process, 26 juvenile animals were reared in smooth plastic trays and 18 were reared in trays containing oyster chips (which they could use to exercise their claws). Another 23 animals were reared in trays containing only one oyster chip. The claw configurations of all the animals as adults are summarized in the table.

Claw Configuration
Treatment	Right crusher, left cutter	Right cutter, left crusher	Right cutter, left cutter
Oyster chips	8	9	1
Smooth plastic	2	4	20
One oyster chip	7	9	7

We would like to test if claw configuration is independent of treatment at α=0.01.

1. State the null and the alternative hypotheses.

H₀:

H_A:

2. Compute the test statistic.

Claw Configuration
Treatment	Right crusher, left cutter	Right cutter, left crusher	Right cutter, left cutter	total
Oyster chips	8 (        )	9 (        )	1 (        )	18
Smooth plastic	2 (        )	4 (        )	20 (        )	26
One oyster chip	7 (         )	9 (         )	7 (        )	23
total	17	22	28	67

3. Compute the p-value for the test statistic and make a decision.

Answer 1

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