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Session 10

The document discusses hypothesis testing using statistical techniques like the z-test, t-test, and F-test. It provides examples of identifying the null and alternative hypotheses, defining rejection and non-rejection regions on a distribution, and comparing a calculated test statistic to a critical value to determine whether to reject or fail to reject the null hypothesis. Interactive elements like buttons and drag-and-drop are included for learning purposes.

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23 views30 pages

Session 10

The document discusses hypothesis testing using statistical techniques like the z-test, t-test, and F-test. It provides examples of identifying the null and alternative hypotheses, defining rejection and non-rejection regions on a distribution, and comparing a calculated test statistic to a critical value to determine whether to reject or fail to reject the null hypothesis. Interactive elements like buttons and drag-and-drop are included for learning purposes.

Uploaded by

ss t
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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SESSION

Structure
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We can also take the
null and alternative
hypotheses as follows:
0
0
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ENTER

Non-rejection Rejection
region region 0.01

% Z=0 Z = 2.3263
Zcal = 2.8759
u

Click on this ClickClick on this


on this
1 2 1

Click on this
3

Select this Click on this


3 2

c
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ENTER

The test statistic


is

ENTER
Rejection
Non-rejection
region 0.02
region

t=0 t = 2.1176

t cal = 3.7265
%

u
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DRAG IT DOWN
ENTER
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Rejection
region 0.05
Non-rejection
region

t = - 1.72191 t = 0
t = - 4.3289

%
ENTER

u
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1
n p + n2 p2 X1 + X2 ˆ = 1 - Pˆ
Pˆ = 1 1 = and Q
n1 + n 2 n1 + n 2

%
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ENTER
Rejection Non-rejection Rejection
region 0.025 region region 0.025

Z = - 1.96 Z=0 Z = 1.96


Zcal = 1.0235 %
%

= 2P ¯
ë Z ³ Zcal ùû = 2P éë Z ³ -1.0235 ùû .
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Critical value
Rejection
Non-rejection region α/2
region
(1 − α)

F = F(ν 1,ν 2 ),(1 - α / 2) F = F( ν 1,ν 2 ),α / 2


%

Critical value

Non-rejection Rejection
region region α
(1 − α)
%
F = F(ν 1,ν 2 ),α

Critical
value
Rejection
Non-rejection region α
region
(1 − α)

F = F(ν 1,ν 2 ),(1 - α)


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ENTER
Click on this
2
Click on this
3

4
Click on this

Select this
5

1
Select cell

F(24,19),0.99
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Rejection
Non-rejection region 0.01
region

F = 0.3620 F = 2.9249
Fcal = 1.2407

Click on this
2
Click on this
3

4
Click on this

5
Select this

1
Select cell
u
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Match the results with the manual computation of data carried out in
Units 10, 11 and 12 of MST-004.
%

%
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