Right. Must not be a good course then....

First of all , there is no such thing as 'ground'. Ground is where people grow vegetables....
There is only a reference plane. Whether this is the positive or negative supply in you system does not matter. So yes, you can use a powerplane as reference just as you can use a 'ground' plane ( which is essentially the power supply return plane. Every electron ( conventional meaning, not electron meanin. Electrons in nature flow out of the negative pole and into the positive pole ) coming from the supply needs to go back to the supply.
Now, why do you want both a power and a ground plane... Because you have coupling between them. You are forming a capacitor that is dispersed through the board. This by itself will dampen high edge rate transients.
Rule number two : any outgoing signal needs a return path. The return path needs to be right underneath the outgoing path. Put a plane underneath and you dont need to worry .
Now, electrons do not always take the shortest route ! As edge rate increases they will lump together and actually follow the path underneath the signal trace.
Now, are we going for emc or signal integrity ? The two are related , but NOT the same !
For emc. One plane is ok , it is a shield. Fir signal integrity .. It is important. And signal integrity problems can cause emc problems...just as emc problems can cause signal integrity problems
I mentioned edge rate. It is not the frequency of a signal that is important but its edge rate.how to explain.. Take a surface of water , unlimited in size. You are in the middle and you create ripples.( sinewaves ) you can make slow ripples, or fast ripples. They will propagate smoothly. Put a wall in the water and when the clean waves hit they will create foam and breakers. If the amplitude of the waves is larger you get more splattering when they hit the wall. This splattering causes emc problems. Energy is scattered all over and lots of new frequencies are created ( large drops, small drops ). This is an emc problem. You are dispersing energy in the frequency spectrum. It is also a signal integrity problem. Your nice clean sinusoidal waves are now pure anarchy.
There will be waves reflected back and they will intermodulate with outgoing waves. If you throw a stone in water you will see concentric circles. When they hit the shore they bounce back.. This is signal reflection. The reflected energy intermodulates iwth ougoing energy.... Signal integrity problem.
This not an emc problem.
What is edge rate. Take a piece of paper lined with squares.
Draw a sine wave, 10 squares peak to peak and 20 squares long.
In this same 10x 20 area draw a triangle wave. And finally draw a square wave.
Now look in every square at the dv/dt. How many volt per second do i get.
For the triangle wave this is always constant. The slope of the signal is always 45 degrees in a square. Dv dt is a constant ( apart from the peak where you change direction )
Look at you sinewave. Here the dv dt is not a constant. If you are close to the midpoint you rize fast. When approaching the peak it slows down... Take a look at the square wave.. The dv dt is off the chart.
That is edge rate : how fast do we climb per time unit. Higher edge rates will radiate. Even the slightest mismatch will cause trouble, both for emc and integrity.
Back to the water model. Tsunami. An earthquake causes part of the ocean floor to drop or raise in a very short time. This 'thump' is not a sinewave but essentially a square wave. Result : immense waves that crash on the shore causing devastation. There is your problem.
Now, your cpu there will for sure use square waves, but any fast cpu or chip these days has edge control built in. We ( when i say 'we' i mean chip designers , as i am in the semiconductor design business) limit the current that can flow in and out of a pin. So our i/o structures have an impedance. That coupled with the capacitance between signal trace and reference plane ( see how i cleverly avoided the usage of 'ground' here ) forms an rc filter.
It does not matter if the capacitor sits to power or return plane. Sometimes we switch high to low , sometimes low to high. Sometimes it is the transistor between power and io , ,sometimes the transistor between io and return that energizes. Charge is displaced, energy flows.
Keep in mind that what i say here are abstractions and simplifications. Everything is governed by maxwells laws . And , as edge rate increases the field interactions become very difficult. Thats why we have tools for such cases. Hyperlinx , avct and others. Those are 3d field solvers and can show you the problem area's
Back to your problem. Ideal is a 4 layer board. With an even spacing between the layers. You need to know that also the layer stack is important.
Bards are made around a core doublesided board and layers are added.
So , do we start with a thick core and add two thin layers ? Or do we start with a thin core and add two thick layers... Or do we make all layers the same thickness...
This depends on the impedance you want to create. Any discrepancy in impedance will create 'breeakers' an impedance change is like a stone wall in the water. Some waves hit it , some go around the edges, some refelct. You don't want walls... You don't want impedance changes.
Impedance on a board is determined by the distance beteen a signal trace and its return path , and the material used ( dielectric constant ) you need to know the constant, the thickness of the isolator and the output impdance of an io pin ( typically around 22 ohms). And then you can calculate the required width of the trace for impedance matching. If this width becomes absurdly wide you can decrease the distance between signal and return path.
So yes, you need to tune the psb stackup. You will have to talk with the board house what prepreg material thcikness they have....
For you 72MHhz chip... Not so much a problem. The fun begins at roughly 200 MHz... At 500Mhz you need impedance control, striplines etc, push it above 1GHz and even that doesnt work anymore. You need differential signaling then .. Note that it is not the absolute frequency but the edge rate that is important, but as frequency goes up, edge rate has to go up to. You cannot make a 5 volts 1 ghz signal with and edge rate of 1 volt per second ...
Did i confuse you ? Good! You passed with flying colors and can now enter the hall of people who have been taught the emc signal integrity course. You will be perpetually pondering on all theses aspects and whatever fun you had with electronics is forever ruined by the unanswered questions.
There is only one valid answer to all questions on how to design a system for emc and signal integrity.... And that answer is 'it depends' ...