Many people believe their horoscopes are accurate because they pay more attention to events that are consistent with the prediction while ignoring other events. this is an example of:

The correct answer is Confirmation Bias.

Confirmatory Bias or also known as Confirmation Bias is defined as the propensity to scan for, translation, support, and review data in a way that affirms one's prior convictions or speculations. Since, people who believe in horoscopes tend to give focus on events that are consistent with the prediction given to them, which is why they are considered to be an example of Confirmation Bias.