Answered: = = P₁-P₂ √ pa(+2) 0.525 -… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 74E

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Question

Using the given values m = 80 and n = 80, along with the values previously calculated, p₁ = 0.525, p₂ = 0.2, p = 0.3625, and â = 0.6375, calculate the test statistic z, rounding the result to two decimal places.
P1 - P₂
√ pâ(21/1 + 1 )
0.525 -
z =
=
0.3625(0.6375)
=
80
2 [1 - 0 (1
+
Because we are testing H₂: P₁ - P₂ # 0, we have a two-tailed test. Recall that the P-value for a two-tailed test is 2 (Area under the standard normal curve to the right of |z|), or 2[1 - (lzl)].
Use the value of z calculated above and refer to the table of standard normal curve areas to calculate the P-value rounded to four decimal places.
P-value = 2[1
(|z|)]
1
80

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