Import CSV to SQL database with Polish characters

Question

I've kept a spreadsheet of Polish words on google docs and I'd like to import a CSV download of this file into my SQL database using PHPMyAdmin.

The database will then be queried via my website and display the Polish words.

I've exported the CSV file from google docs, imported it as a utf-8 document into my spreadsheet. In the database I can see that characters such as ż and ę etc. are being replaced with '?'. The site also shows this.

In the header I am setting the charset to utf-8. Below is the code I use to connect to the DB.

    <?php
$host_name = 'xxxxx';
$database = 'xxxxx';
$user_name = 'xxxxx';
$password = 'xxxxx';
$connect = mysqli_connect($host_name, $user_name, $password, $database);
// mysqli_query("SET NAMES utf8");
if (mysqli_connect_errno()) {
    die('<p>Failed to connect to MySQL: '.mysqli_connect_error().'</p>');
} else {
     '<p>Connection to MySQL server successfully established.</p >';
}


?>

Is there something I'm obviously doing wrong?