Here's a great example of a phishing scam in email. I've pointed out a few simple things you can look for if (when) you receive an email similar to this one.
1. The From field: Where a person's name would usually be they've entered an email address. As you can see next to it upon further investigation you notice that the actual email is not who it appears to be.
2. The To field: They put an email address, when coming from Apple or any place that you have an account with, it would most likely say your name. The email address in this message has been hidden. You'll notice in the Body after Dear they also used an email address, it's because they don't have your name, only your email address.
3. The times in the email are off. They noted the issue in PDT on the same day they sent it but 7 hours in the future! Plus even assuming the email had an error and was supposed to be EDT that would only have been 4 hours ahead.
4. If you're on a computer (don't do this on a touch device) you can hover over the suggested link they want you to click on and see where the link would have actually taken you (see the arrow).
If you know just a couple things to look for you can make things more secure for yourself.