If you can be claim as a dependent on your parent's tax return, you need to report that on your tax return and that will negate you being able to qualify for an earned income credit. It doesn't matter whether they claim you, just they're being able to claim you will disqualify you.
You mention that the IRS refund paid to you is less than what was listed on your tax return. The IRS will send you an explanation in the mail as to why they reduced your refund, you should receive it within two weeks of when you received your refund.
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