Tests the claim that pi < p2. Assume the samples are random and independent.T1 = 42; r2 = 26n1 = 60 ; n2 = 66a. Complete the table (use reduced fractions)P1P2PiThe Test Statistic(Pi – P2) – (Pi – 2)Tị + 12Z =VP(금 + )nn+ n2b. Calculate the Z-test statistic using the standard error from part a. Z =(use 2 decimalplaces)C. At a = 0.08, Use the distribution table to find the critical values for the rejection regionZ. =

Given that Claim : p1<p2 x1= 42 ; x2= 26 n1=60 ; n2 = 66 p^i=xini p^1=x1n1=4260=0.70…

Answered: Tests the claim that pi < p2. Assume…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Tests the claim that pi < p2. Assume the samples are random and independent.
T1 = 42; r2 = 26
n1 = 60 ; n2 = 66
a. Complete the table (use reduced fractions)
P1
P2
Pi
The Test Statistic
(Pi – P2) – (Pi – 2)
Tị + 12
Z =
VP(금 + )
n
n+ n2
b. Calculate the Z-test statistic using the standard error from part a. Z =
(use 2 decimal
places)
C. At a = 0.08, Use the distribution table to find the critical values for the rejection region
Z. =

Expert Solution

Step 1- Writing given data

Given that

Claim : $p_{1} < p_{2}$

x₁= 42 ; x₂= 26

n₁=60 ; n₂ = 66

${\hat{p}}_{i} = \frac{x_{i}}{n_{i}}$

${\hat{p}}_{1} = \frac{x_{1}}{n_{1}} = \frac{42}{60} = 0.70$

${\hat{p}}_{2} = \frac{x_{2}}{n_{2}} = \frac{26}{66} = 0.3939$

$\bar{p} = \frac{x_{1} + x_{2}}{n_{1} + n_{2}}$

$\bar{p} = \frac{42 + 26}{60 + 66} = \frac{68}{126} = 0.53968 ≃ 0.54$

$\bar{p} = 0.54$

$\bar{q} = (1 - \bar{p})$ = $(1 - 0.54) = 0.44$

${\hat{p}}_{1}$	${\hat{p}}_{2}$	$\bar{p}$	$\bar{q}$
0.70	0.3939	0.54	0.44

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Tests the claim that pi < p2. Assume the samples are random and independent. T1 = 42; r2 = 26 %3D ni = 60; n2 = 66