From a set of streptonignic dosorcsponse data. an experimenter desires to develop a relationship between the proportion of lymphoblasts sampled that contain aberrations and the dosage of streptonignic. Five dosage levels were applied to the rabbits used for the experiment. The data are

See Myers, 1990, in the bibliography.
(a) Fit a logistic regression to the data set and thus estimate β0 and β1 in the model
P = 1/1 + e-(β0"+β1x) '
where n is the number of lymphoblasts, x is the dose, and p is the probability of an aberration.
(b) Show results of x2-tests revealing the significance of the regression coefficients 0o and 3.
(c) Estimate the ED50 and give interpretation.

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Number of Number witlh (mg/kg) Lymphoblasts Aberrations Dose 30 60 75 90 600 500 600 300 300 96 187 100 145