= Solution
The relevant no-preference benchmark is $p_A=2/3$, because two of the three equally supplied egg types count as other-species eggs. Its <log odds> is $\log2\simeq0.6931$, which is below the entire <confidence interval>. \b[Under the fitted binomial model, species A preferentially consumes other-species eggs.] The estimate is $\widehat p_A\simeq0.7134$, and transforming the log-odds <confidence interval> by $e^\theta/(1+e^\theta)$ gives approximately $(0.6810,0.7437)$.
Comparing the interval with zero would test equal numbers of own- and other-species eggs eaten, which is not the no-preference hypothesis for this supply. The conclusion remains model-dependent: eggs are taken from a finite supply without replacement, and depletion or dependence within a vial can affect the binomial approximation. This fitted analysis supports an association with egg type; it does not by itself establish the mechanism of recognition or avoidance.
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