Of the 95 participants in a drug trial who were given a new experimental treatment forarthritis, 57 showed improvement. Of the 89 participants given aplacebo, 51 showed improvement. Construct atwo-way table for thesedata, and then use a 0.05 significance level to test the claim that improvement is independent of whether the participant was given the drug or a placebo.

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Complete the followingtwo-way table.

improvement

no improvement

Drug

57

57

38

38

Placebo

51

51

38

38

a. State the null and the alternative hypotheses. Choose the correct answer below.

A.

The alternativehypothesis: Improvement is independent of whether the participant was given the drug or a placebo.

The nullhypothesis: Improvement and treatment(drug orplacebo) are somehow related.

B.

The nullhypothesis: Improvement is independent of whether the participant was given the drug or a placebo.

The alternativehypothesis: Improvement and treatment(drug orplacebo) are somehow related.

Your answer is correct.

b. Assuming independence between the twovariables, find the expected frequency for each cell of the table.

Table of expected frequenciesimprovement

no improvement

Drug

nothing

nothing

Placebo

nothing

nothing

(Round to the nearest hundredth asneeded.)

Enter your answer in the edit fields and then click Check Answer.