Final answer:
The radial velocity method favors the detection of hot Jupiters because their large mass and close orbits cause significant gravitational effects on their stars, leading to observable Doppler shifts in a shorter amount of time.
Step-by-step explanation:
The radial velocity method of exoplanet detection is biased toward finding hot Jupiters because these planets are massive and orbit close to their parent stars. This proximity and massiveness lead to significant gravitational forces causing the stars to exhibit noticeable wobbles in their motion. These wobbles correspond to the largest Doppler shifts in the star's spectrum, making such exoplanets more detectable with this method. Additionally, since hot Jupiters have shorter orbital periods due to their closeness to the stars, they complete orbits faster, allowing astronomers to observe a full orbital cycle in a shorter timeframe.