Step1
First of all, make sure your technical writing skills are up to snuff. If you have never tried technical writing before, you may need to practice and learn the skill itself. Technical writing demands both a strong vocabulary in the particular field you'll be writing about -- medicine, science, geology, electronics -- and a strong clean writing style in general.
Buy one or both of the style books mentioned in the list of things you need. Study those books. "Elements of Style" is very easy to use, you can go page by page editing your writing sample by applying each of its rules of writing and at the end you will have clean strong salable prose. No matter what you write about, using a style book is going to give it professional quality.
Practice until you can describe anything you're familiar with using prose that meets the style guide. Real skill is the best way to build confidence. Don't even try for a technical writing job until you can write strong grammatically correct prose. Then apply only for jobs where you have some background in what's being written.
The better your real qualifications, the more likely you will get and keep the job.
Step2
Prepare your resume in a professional manner. The writing in your resume itself is a sample for your employer to judge. Be clear, concise and specific about your qualifications. List the best three or four clips you have -- articles written on technical matters either for webpages or print publications like your local newspaper. List your educational qualifications and anything that might show your technical expertise. Electronics clubs do count for something like technical writing about electronics, and if you did the newsletter, that is a clip.
Organize it sensibly. Use bold headings and indents to separate sections. Add a brief statement of intent at the top, what you are looking for in the job.
When describing yourself, use positive terms. Be specific and positive. "I enjoy writing and seek a career as a technical writer" is a stronger statement than "I need a job and technical writing sounded something like what I could do."
Check your resume for any misspelling or bad layout. Don't let it run to more than one page. If you can cut any word as unnecessary, cut it. This is one of the biggest rules in the style guides. Eliminate all unnecessary words. Most words that end in "ly" aren't necessary to description.
Step3
If sample tests are available, take one home and practice with it. Get a feel for the style of testing. Chances are you will be expected to be familiar with the subject matter and able to do writing samples on the spot. So study the subject you expect to do technical writing about until you can answer questions about it from both experts and complete newbies. Once you can explain it to people in person, that's a big step to being able to explain it in print.
For morale purposes, flip through a lousy handbook. If you've ever run into an owner's manual or a handbook of any kind that confused you, left you in the dark and was filled with spelling errors and technical mistakes, reread that. Remember how angry you were when you tried to use it. Realize that you can do a hundred times better, as long as you're careful and do a good job.
Step4
Rehearse for your interview at home. Dress well for it, and get used to the clothes you'll be wearing at the interview so they don't feel like a costume. Have friends over to help question you. Practice some of your answers and get feedback from friends, especially if any work in Human Resources for any company.
Actors rehearse even if they're going to do improv -- and if you rehearse until you're familiar with everything you want to tell the interviewer, you will have a lot more confidence making your presentation.
Step5
Groom yourself well before the interview or test. Dress well in business casual clothing, and be sure to choose styles and colors that actually look good on you. Friends can help with this too, especially women friends.
Step6
At the test, if you have test anxiety, try not to show it. Make jokes about it if you do. Try to save face. Trust your real skills. You are qualified or you wouldn't have come this far.
Step7
Be neat and careful in answering the questions on the test. The more you've prepared for the material, the easier it'll be to pass. Don't worry about whether every answer is correct or the best possible answer. If you score high, that is good enough -- perfectionism is a good way to get so messed up that you make more mistakes. Steady and careful is the way to get as many answers right as you can.
Step8
For the interview, whatever you actually feel, project calm confidence. Acting tricks help with this. Don't hesitate to answer questions, answer honestly. Don't be too formal or too informal, professionalism is moderate formality. Don't talk over the interviewer or push too hard. Listen to everything the interviewer says and pay attention to it. Most of all, remember that job searching is a trial and error process. If this interview doesn't give you the job, it's good practice for when you go to the next interview. The more times you've interviewed, the less unfamiliarity there is about the process. Relax and trust your own skills. You do qualify for the job of technical writer, and you will get the job if you try as many times as you need to in order to find the company that needs you.