Exercise in Bayes’ rule: is an ideology more likely to be wrong if it appeals relatively more to poor people than the rich?

More manipulable folks are more likely to lose their money, so less likely to be rich. Stupid people have a lower probability of making money. By Bayes, the rich are on average less manipulable and more intelligent than the poor.

Less manipulable people are less likely to find an ideology built on fallacies appealing. By Bayes, an ideology relatively more appealing to the stupid and credulous is more likely to be wrong. Due to such people being poor with a higher probability, an ideology embraced more by the poor than the rich is more likely to be fallacious.

Another exercise: is an ideology more likely to be wrong if academics like it relatively more than non-academics?

Smarter people are more likely to become academics, so by Bayes’ rule, academics are more likely to be smart. Intelligent people have a relatively higher probability of liking a correct ideology, so by Bayes, an ideology appealing to the intelligent is more likely to be correct. An ideology liked by academics is correct with a higher probability.