With that said…

you will have to have a form…

<form name="pageForm" method="post" action="<?php $PHP_SELF;?>">
<input type="hidden" name="action" value="go" />
What is your favorite color:
<input type="radio" name="favcolor" value="1" />
<input type="radio" name="favcolor" value="2" />
///… put other questions and answers as you desire
<input type="submit" name="submit" value="Vote" />
</form>

<?php

if($_POST["action"] == "go"){
// grab all values from the form
// insert values into database
// maybe redirect to another page, something like thank you for your votes…. or something
}

?>

Hope this helped you to get started
// some things that you will want to search in google for are getting values from a form in php

Good Luck!