Significance Testing
Lecture- 08
Critical Region
The critical region (or rejection region) is the set of all values of
the test statistic that cause us to reject the null hypothesis. For
example, see the red-shaded region in previous Figure.
2
Significanc
INFERENCE ON TWO POPULATION PROPORTIONS
Large-Sample Test for H0: p1 = p2
INFERENCES ON THE VARIANCE OF SINGLE NORMAL
POPULATION
(Hypothesis Testing For Single Variance)
Sometimes hypothesis tests on the population variance or standard deviation are neede
Formulae
ANOVA
n
k
(
S .S .T . = y ij y
i =1 j =1
k
(
)
)
2
= sum of squared values Correction Factor;
2
S .S .Tr. = n y j y =(sum of squared means)/ No. of values in each column - Correction Factor;
i =1
n
k
(
S .S .E. = y ij y j
i =1 i =1
)
2
S.S.E. = S
Sampling and Sampling
Distributions
Dr. Tahseen A. Jilani
What we have boon
The objective of most statistical investigations is inferencethat is, making decisions or predictions about a
population based on information in a sample.
To actually make the dec
When sampling is from the same population, using a fixed
sample size, the higher the confidence level, the wider the
interval.
When sampling is from the same population, using a fixed
confidence level, the larger the sample size n, the narrower
the conf