Irritating problem with a easy easy concept

Take a look at this code

    private boolean ParseResponse(String strResponse) throws InvalidResponseException{
        strResponse = strResponse.toUpperCase();
        if (strResponse == "Y" || strResponse == "N"){
            if (strResponse == "Y"){
                return true;
            }
            else{
                return false;
            }
        }
        else{
            System.out.println(strResponse);
            throw new InvalidResponseException();
        }
    }

When the method is called I pass it a string with the value of y.  The method then converts it to upper case Y.  Why is this statement failing and going to the else? if (strResponse == "Y" || strResponse == "N")

Thanks for your help.