Maxwell Cantor, VP of human resources of Asimov Aerospace Industries Inc., is re

Question

Maxwell Cantor, VP of human resources of Asimov Aerospace Industries Inc., is reviewing the technical certifications of employees in different divisions of the company. His goal is having 90% of technical employees with up-to-date certifications. The Northeast division typically has maintained higher rates of up-to-date certifications than the Southern division. He selects a random sample of 250 employees from the Northeast division and 300 from the Southern division and finds out that the number of employees with up-to-date certifications are 230 in the Northeast division and 265 in the Southern division. Assuming a = 0.01, the observed z value is ______.

1.027

1.219

1.427

1.619

1.827

1.027

1.219

1.427

1.619

1.827

Explanation / Answer

Test and CI for Two Proportions

Sample    X    N Sample p
1       230 250 0.920000
2       265 300 0.883333

Difference = p (1) - p (2)
Estimate for difference: 0.0366667
99% CI for difference: (-0.0283912, 0.101725)
Test for difference = 0 (vs 0): Z = 1.43 P-Value = 0.154

Fisher’s exact test: P-Value = 0.199

Z = 1.43

hence

c) 1.427 is correct

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