Question: From data + prior to interval. Find (I_{2 alpha}^{pi}). (a) (2 alpha=0.07). Prior: (a_{0}=3, b_{0}=5). Observed: (k=13) positives and (l=20) negatives. (b) (2 alpha=0.1). Prior:
From data + prior to interval. Find \(I_{2 \alpha}^{\pi}\).
(a) \(2 \alpha=0.07\). Prior: \(a_{0}=3, b_{0}=5\).
Observed: \(k=13\) positives and \(l=20\) negatives.
(b) \(2 \alpha=0.1\). Prior: \(a_{0}=0, b_{0}=0\) (Novick and Hall).
Observed: \(k=4\) positives and \(l=9\) negatives.
(c) \(2 \alpha=0.05\). Prior: \(a_{0}=0.5, b_{0}=0.5\) (Jeffreys).
Observed: \(k=44\) positives and \(l=19\) negatives.
(d) \(2 \alpha=0.02\). Prior: \(a_{0}=1, b_{0}=1\) (Laplace).
Observed: \(k=79\) positives and \(l=198\) negatives.
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