I was embarrassed that I mispoke.
I was embarrassed that I mis-spoke.
I was embarrassed that I misspoke.
misspoke
http://dictionary.reference.com/browse/misspoke
All three sentences you provided are correct, but they differ only in their spelling of the word "mispoke".
1. "I was embarrassed that I mispoke." - This sentence uses the spelling "mispoke." It means that you spoke incorrectly or said something wrong.
2. "I was embarrassed that I mis-spoke." - This sentence uses a hyphen to separate the syllables of "mispoke". While this spelling is less common, it indicates the same meaning as the first sentence.
3. "I was embarrassed that I misspoke." - This sentence uses the spelling "misspoke". This is the most common spelling and it also means that you spoke incorrectly or said something wrong.
To get the answer to your question, you can use a dictionary or search for the different spellings online to confirm their meanings.