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Historical experience suggests that if a drug to treat high blood pressure is given under medical supervision to 4 randomly selected, previously untreated, patients with

Historical "experience" suggests that if a drug to treat high blood pressure is given under medical supervision to 4 randomly selected, previously untreated, patients with high blood pressure, the number of patients for whom it is brought under control follows the distribution:

Brought under control 0 1 2 3 4
Proportion 0.009 0.075 0.260 0.416 0.240

The company supplied the drug to 130 doctors who agreed to use it on their next 4 patients. For 24 of the doctors, the treatment was successful with all 4 patients, for 59 it was successful with 3, 33 with just 2, and 14 with only 1 of the next 4 patients. Are these results consistent with the distribution of successes expected by the company? Evaluate with a suitable hypothesis test at 5% significance level, taking care to evaluate and address any concerns over the assumptions.

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