I send the variable newUser from options.html to background.html with chrome.extension.getBackgroundPage() like this
document.getElementById("save").addEventListener(
    "click", function ()
    {
        var newUser = document.getElementById("getEmail").value;
        var bkg = chrome.extension.getBackgroundPage();
        bkg.saveNewUser(newUser);
        console.log("newUser " + newUser);
    } , false)
In background.html I have 
function saveNewUser (newUser)
{
    newUser = newUser; //this should be global?
    console.log("newUser from options page " + newUser);
}
console.log("newUser from options page " + newUser);
but newUser is local to the function. My understanding is that if a variable is saved inside a function without the keyword var it should be global. But in this case it is not. The console.log outside the function throws Uncaught ReferenceError: newUser is not defined error.
What am I doing wrong and how can I fix the scope to use newUser outside the function?
Thanks.
Edit
I tried the following in background.html but I still get newUser undefined error:
var extension_user
function saveNewUser (newUser)
{
    extension_user = newUser; //this should be global
    console.log("extension_user from options page " + extension_user);
}
console.log("extension_user from options page " + extension_user);
Update
I changed both pages to reflect the answers and comments but still outside the function the variable is undefined. What am I doing wrong?
options.html
document.getElementById("save").addEventListener(
    "click", function ()
    {
        var newUserEmail = document.getElementById("getEmail").value;
        var bkg = chrome.extension.getBackgroundPage();
        bkg.saveNewUser(newUserEmail);
        console.log("newUserEmail " + newUserEmail);
    } , false)
background.html
var newUser
function saveNewUser (newUserEmail)
{
    window.newUser = newUserEmail; //this should be global
    console.log("newUser from options page inside function" + newUser);
}
console.log("newUser from options page " + newUser);
 
     
     
    