"No other personal information is collected" or other similar wordings will do nicely. If there's something that you know your app will never try to do, it can be listed as a reassuring gesture to the user.
By the way, the link in your signature is broken.
That works for apps off the various stores....But doesn't work for pre-installed bloatware the provider is running while you use your phone. Verizon is great for these apps. They crash your phone not releasing memory while your doing memory intensive activities. No App needs access to your cellular phone except to keep it from sleeping. Asking for contacts is bad programing and presentation....I'm seeing alot of this disappear from the Google apps. But Apple doesn't present rights to the end user....is it too complicated for an iPhone user to grasp program rights? So, maybe she feels she needs to protect Apple users as her office protected the mass murder from Mexico that killed a father and son on the streets of San Francisco. In the end, all those idiots paid to spam the internet on an apple breakout day, could be used to check the battery usage of and I-device....Android user need not worry....just read the tech blogs. BTW, every Apple device calls home on $10 a gig lte line. Apple should post this each time a device connects without user wanting it.
Some people carve careers, others chisel them.