Question

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....

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.

Solutions

Expert Solution

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


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