Solution (source code)

= Solution

\b[No.] A <Bayes factor> favouring the alternative means $B_{01}<1$, but the <posterior odds> are $B_{01}O_{01}$. They are less than one only if $B_{01}<1/O_{01}$. For example, <prior odds> of $1000:1$ on the <null hypothesis>, combined with a <Bayes factor> of $100:1$ in favour of the alternative, still give <posterior odds> of $10:1$ on the <null hypothesis>. An unusual claim can require substantial evidence to overcome low initial plausibility.