Noisey shotgun mic setup - need advice

Question

I am using my Zoom H4n recorder with a rented Rode NTG-8 shotgun mic. So far, my results have been very noisey. Below is an example of the audio without any changes, and the second example has some amplification and noise reduction in audition. I was indoors when this audio was captured, and there was little to no noise in the house.  This is my first time using a shotgun with my H4n, so any feedback is appreciated.
Edit: I should clarify. My question is more about what settings I can change on the H4n to reduce noise, rather than fixing it in Audition.
With no changes:
Noised reduced/amplification:

Answer 1

Have you posted this also to the Zoom forum?  There are a number of regular contributors there who are also users of the H4n.
Perhaps, in order to hear what "effect" the shotgun mic has on your recording it would be useful to carry out the same test, but using only the H4n's internal mics.  Certainly, the level of hiss on your recording is rather high!  I own and use the H2n, often with a Rode Videomic Pro, and obtain rather better results than you are getting.
As to the settings you mention, the two lo-cuts are, IMO, only serving to "emphasise" the hiss.  237Hz (is that a "standard" setting on the H4n?) is actually removing some of the definition of your voice, I think.  The usual advice in situations like this is to NOT record with any "effects" on the recorder, but to use the facilities of Audition to "correct/improve" your recording.  I suspect also that "Auto-Level" is doing you absolutely no favours, by essentially raising the level of the hiss in the "silences" between words to the point where it is intrusive, to say the least.
My method of working, using the Rode VideoMic, is to record to the H2n without any effects, allowing peak levels (as shown on the H2n's input meters) to reach a maximum of about -12 to -6.  Yes, the resulting recording is often quite surprisingly "low" level, but using AA to Normalise to, say, -3dB, sometimes with some compression if there are especially quiet passages that need to be raised, gives me an audio track which is suitable for what I need.  Occasionally I may also need to use Noise Reduction (and BTW I'm afraid you have rather overdone this with the result there are some quite unpleasant artifacts on your voice), in which case I am fortunate in being able to call upon Izotope RX3 Advanced to carry out this work.
So, the strict answer to your question as posed, IMO, is set the H4n to record everything "flat", i.e. no settings at all other than the manual setting of the input level!