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Need help answering these questions in R language please!
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 ^ = 3.3. • Calculate the likelihood ratio for II; : 1 = 4.1 and 119: 1 = 2.2. • Plot a log-likelihood function in the range 2 < < 14. • Calculate a credible interval for I, 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. ta a