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In: Statistics and Probability

Suppose you go fishing one weekend. Let X be the number of trout you catch on...

Suppose you go fishing one weekend. Let X be the number of trout you catch on Saturday and let Y be the number of trout you catch on Sunday. Suppose X and Y are independent Poisson distributed variables with the same λ. Consider a hypothesis test with the nullλ = 0.5 and the alternative λ > 0.5. Suppose you catch 2 fish, carry out the hypothesis test at α = 0.05 by calculating the p-value. Note: I recognize we did not cover a hypothesis test that particularly covers this scenario, but I believe it to be well within your abilities to do this, and even all by hand! Consider how to formulate the test in terms of the random variable Z = X + Y ...

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orchestra answered 2 years ago
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