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I'm having the problem on my iPhone 5. iOS 7.0.2. The proximity sensor appears to pretty much not work at all. I've accidentally activated speakerphone 6 times and facetime 3 times. My mother-in-law was on a phone call with my wife (on my MIL's iphone 5) and she accidentally facetimed ME during that. Of course, that's probably in part due to my wife and attempting to share iCloud for find-my-phone. But that's another issue..

Apple, please fix proximity sensor code in 7.0.3. Please!
 
Reply from apple

I got a message from apple (after reporting this problem as a bug).
They ask to test the latest ios 7.1 beta 4.
Can somebody test the latest 7.1 beta and verifiy if the problem still exists?
 
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