There is a difference between your licensing agency, BVNPT, and a private employer. You are required to disclose your prior conviction to BVNPT even after a post-conviction dismissal under Penal Code Section 1203.4 (that is what you obtained -- NOT an "expungement," which is not available in California). But you are not generally required to disclose dismissed convictions to private employers pursuant to the provisions of the statute by which your conviction was dismissed after conviction.
There can be some complicating factors, for example, if the hospital or health care institution is a government or quasi-government agency.
My suggestion is that you run the application past an attorney who can help you parse the instructions. Barring that, take the application sentence by sentence. Unless the potential employer has exceptional rights in this subject, you are entitled to say "NO" to the prior conviction question on a private employer job application. Some applicants prefer to say "NO, dismissed" because of the likelihood that the prior conviction will show up in a background check.
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Are you applying to be licensed or a government job? If you are not you are not required to disclose the prior. I would suggest you discuss this with an attorney that handles licensing matters.
Mr. Driessen is a former Deputy DA in Orange County with over 8 years of criminal law experience. Nothing stated on this site shall in anyway be construed as legal advice, or as creating any attorney client relationship. If you would like to hire Mr. Driessen, feel free to contact him at www.theocduiguy.com.
No lawyer can get a potential employer to "overlook" your prior conviction. If you are applying for a state license, you must disclose the conviction, even though it was dismissed under 1203.4. The best thing to do is be honest and explain what happened and why it won't happen again.
The response above is not intended as legal advice. This response does not create an attorney-client relationship. Legal questions can only be fully answered through consultation with an attorney to whom you give full and accurate details. Anything you post here is not confidential and is not protected by the attorney-client relationship. It is highly recommended that you seek advice from a criminal defense attorney licensed in your jurisdiction by setting up a confidential meeting.