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goldenfox
1 month ago
10

Management of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 80

0 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown belowManagement of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 800 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown below.p1 p20.15 0.12 p (as decimal)120/800 144/1200 p (as fraction)120. 144. X800 1200 n0.03 sample difference0.00 hypothesized difference0.01545 std. errorx.xx z.0522 p-value (two-tailed)The test statistic (shown as z = x.xx) is approximately:A. 2.022B. 1.960C. 1.942D. 1.645
Mathematics
1 answer:
babunello [11.8K]1 month ago
5 0

Response: C. 1.942

Detailed explanation:

This analysis involves comparing two population proportions. The rate of absenteeism among employees in plant A and plant B is denoted by p1 and p2 respectively.

From the provided data,

p1 = 0.15

p2 = 0.12

n1 = 800

n2 = 1200

To find the z score, we start by calculating the pooled proportion.

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (120 + 144)/(800 + 1200) = 0.132

1 - pc = 1 - 0.132 = 0.868

The z score formula is

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.15 - 0.12)/√(0.132)(0.868)(1/800 + 1/1200) = - 0.03/0.045

z = 1.942

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The loop's length is roughly 49.58 km.

Step-by-step details:

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