Modern Zoom are amazingly sharp, sometimes even sharper than most prime (such as Tamron 17-50, Tamron 28-75, Sigma 17-70). However, most "ZOOM" people refers to are like theTamron 28-200XR, which are slower, darker, and softer than any prime.
In short, it really depens on which ZOOM lens you're comaring against which prime. NOT ALL PRIME ARE SHARP, most need to be step down quite 1-2 stops for sharpness. I tend to favor zoom for composition reasons, and zoom also "tend to have" shorter mininum-focusing-distance which makes indoor shots easier.
Having said that, I do prefer to shoot prime when I have the time or the money!!!