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You wish to estimate the fecundity of robins (Turdus migratorius). So, you inspect 10 robin nests...

You wish to estimate the fecundity of robins (Turdus migratorius). So, you inspect 10 robin nests and find this many eggs in them: 2, 3,4,2,3,4,0,3,5,and 2. As you know, when you have a discrete variable with this few levels you should not treat it as a continuous variable. Determine whether the median number of eggs per nest differs from 2 with a sign test.

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Answer #1

Let m denotes the median number of eggs per nest.

To test against

Here,

sample median = 3

p-value = 0.1250

Since p-value > 0.05, so we fail to reject H0 at 5% level of significance and we can conclude that the median number of eggs per nest significantly differs from 2.

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