Question: Suppose you obtain a random sample from a Poisson distribution with meanthat is(3,4,5,7,2,3,4,4,6,6). a)Find the 95 percent Wald confidence interval for. b)Using the Wald test

Suppose you obtain a random sample from a Poisson distribution with meanthat is(3,4,5,7,2,3,4,4,6,6).

a)Find the 95 percent Wald confidence interval for.

b)Using the Wald test statistic and the data from (2), find the p-value for testingH0:= 3versusH1: >3.

c)Find the p-value of an exact test for the same hypotheses. Hint: IfX1,X2,...Xnis a random sample from a Poisson distribution with mean, thenni=1Xiis Poisson with meann.

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