Business Statistics.

Question

Consider the hypothesis test below.

H₀ : p₁ -p₂ < or = 0

H_a : p₁-p₂ > 0

The following results are for independent samples taken from the two populations.

sample 1 sample 2

n₁ = 200 n₂ = 300

‾p₁= 0.29 ¯p₂ = 0.12

Use pooled estimator of .

a. What is the value of the test statistic (to 2 decimals)?

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b. What is the p-value (to 4 decimals)?

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Answer 1

The pooled probability is (.29(200)+.12(300))/(200+300) = (58+36)/500 = 94/500 = .188

z = (.29-.12)/sqrt(.188*(1-.188)*(1/200+1/300)) = 4.77

The p-value is .0000