In: Statistics and Probability
Let X be a sample from population distribution Binomial(10, θ) and consider hypothesis test H0:θ=1, HA:θ̸=1. 22 Construct the test statistic T (X ) = |X 2 − 25|. Assume we observe x = 2. Find the p-value.
Answer:-
Given that:-
P value defined as.
P(test statistic > observed value|
)





and 

and
useles,
null hypothesis. as x takes only intergral value
So
and 
So, 
as 
this probability equivalent to




