In an experiment to evaluate an insecticide, the probability of insect survival was

Chapter 14, Problem 14.43

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In an experiment to evaluate an insecticide, the probability of insect survival was expected to be linearly related to the dosage D over the region of experimentation; that is, p = 1+ D. An experiment was conducted using four levels of dosage, 1, 2, 3, and 4 and 1000 insects in each group. The resulting data were as shown in the following table. Do these data contradict the hypothesis that p = 1 + D? [Hint: Write the cell probabilities in terms of and find the MLE of .] Dosage Number of Survivors 1 820 2 650 3 310 4 50

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