Answer Happy

Please use R program.
Poisson distribution part 2 A random variable X is known to be drawn from a Poisson distribution. An observation is made: n = 6 is obtained. • State the precise definition of p-value and perform a one-sided test for the null that λ = 3.3. • Calculate the likelihood ratio for H₁ : λ = 4.1 and H₂ : λ = 2.2. • Plot a log-likelihood function in the range 2 ≤ x ≤ 14. • Calculate a credible interval for X, using a 2-units-of-support criterion [hint: follow page 67 of the course manual]. An approximate answer is fine • Excellence question: calculate a confidence interval as per the end of chapter 3 in the course manual; compare the confidence interval with the credible interval above. One decimal place sufficient.