Your Practice Set – Applications and Interpretation for IBDP Mathematics
SUMMARY POINTs
� Paired t test : d �x � y : Difference between each pair of data from two variables x and y
H : � � 0
0
1 d
H : � � 0 , � � 0 ( for 1-tailed test ), � � 0 ( for 2-tailed test ) d d
H
0 is rejected if the p -value is less than the significance level
H
0 is not rejected if the p -value is greater than the significance level
d
� Test involving binomial distribution : X
~ B ( n, p ) p H
0
: � p0
H
1: p p0
� , p� p0
x : Observed value of X P ( X � x)
for H
1: p� p0
or P ( X � x)
for H
1
: p� p0
: p -value under X ~ B ( n, p0
)
H
0 is rejected if the p -value is less than the significance level
H
0 is not rejected if the p -value is greater than the significance level
� Test involving Poisson distribution : X
~ Po ( � )
H : � � �0 0
H
1: � � �0
, � � �0
x : Observed value of X P ( X � x)
for H
1: � � �0
or P ( X � x)
for H
1
: � � �0
: p -value under X ~ Po ( �
0)
H
0 is rejected if the p -value is less than the significance level
H
0 is not rejected if the p -value is greater than the significance level
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