1. The problem statement, all variables and given/known data(adsbygoogle = window.adsbygoogle || []).push({});

Suppose you receive calls that follow a Poisson process model Y(t).

There are two hypotheses, Hypothesis1: E[Y(t)] = λ1t = 70t and Hypothesis 2: E[Y(t)] = λ2t = 75t. Let t = 30 the number of calls be 2175.

Find and compute a significance level α such that both Hypothesis1 and Hypothesis2 are accepted.

2. Relevant equations

α = P( (u - E[Y] /stdY > c / stdY)

3. The attempt at a solution

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# Confidence intervals

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