A new antiviral drug for hepatitis C was administered to 180 randomly chosen patients who had been diagnosed with this disease. Doctors wanted to know whether a patient's probability of improving was independent of the dose of the drug. They tested

H0:The probability of improving is independent of the dose

against

Ha:The probability of improving is not independent of the dose

.

Their significance level was .05

.

Forty-five (45) of the patients were randomly assigned to each of these treatments: placebo, low dose, medium dose, and high dose. The patients were monitored for 18 weeks, after which doctors screened them to see whether they had improved or not. The results are given in this table:

Placebo	Low dose	Medium dose	High dose	Total
Improved	7	14	16	23	60
Did not improve	38	31	29	22	120
Total	45	45	45	45	180

Calculate the test statistic and P-value of this hypothesis test. Round answers to three decimal places.

Test statistic_______

P-value________

Are the requirements for the hypothesis test of the previous question actually satisfied? Why or why not?

	No. At least one of the counts is less than 5.
	No. At least one of the expected counts is less than 5.
	Yes. All of the counts are greater than 5.
	Yes. All of the expected counts are greater than 5.