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Hunter-Best [27]
3 years ago
9

Find the value of z ANSWER IS NOT 12. NO LINKS OR SPAMS! THANK YOU!!!!!!​

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

12√3

Step-by-step explanation:

sin 30 =1/2

sin30=a/24. sin=opposit side/Hypotenuse

a is the opposite side of 30

1/2=a/24

a=12

now take pythagoras theroem

24^2=z^2+12^2

576=z^2+144

z^2=576-144

z^2=432

z=√432

z=√144*3

z=12√3

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<u><em>Step(i)</em></u>:-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

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Second sample proportion

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Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

<u><em>Step(ii)</em></u>:-

Test statistic

         Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }

        where

                   P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2}  }{n_{1} +n_{2} }

                   

              P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612

             Q = 1 - P = 1 - 0.2612 = 0.7387

         

             Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

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7 0
3 years ago
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