The table below summarizes the test results on the accuracy of polygraph tests. Use a 5% margin of error to prove that a individual lies is independent of what the polygraph indicates. What do you suggest these results on the effectiveness of the polygraph.                                        Poligraph truth Polighraph Lie Subject tells the truth 65 15 Subject lie 3 17

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 19E
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The table below summarizes the test results on the accuracy of polygraph tests. Use a 5% margin of error to prove that a individual lies is independent of what the polygraph indicates. What do you suggest these results on the effectiveness of the polygraph.

                                       Poligraph truth Polighraph Lie
Subject tells the truth 65 15
Subject lie 3 17

 

Expert Solution
Step 1

The null hypothesis for testing is defined as,

H0​: Individual lies is independent of what the polygraph indicates.

H1​: Individual lies is not independent of what the polygraph indicates.

Observed values with marginal totals:

Statistics homework question answer, step 1, image 1

Step 2

Expected values:

Expected values are the product of the column and row total divided by the table total.

The expected frequency E11 is shown below:

E11= (Row total× Column total)/Grand Total

     = (80×68)/100

     = 54.4

Similarly, calculations made for other cells also.

Statistics homework question answer, step 2, image 1

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