[Verse 1]
When markets puzzle and data confounds
We need a framework that's statistically sound
Start with assumption, call it null
The boring answer, status quo pull
Alternative waits on the other side
A claim that says the null has lied
[Chorus]
Null says nothing's happening here
Alternative whispers change is near
P-value tells us what's the chance
Of seeing data's strange dance
If null were true, would we observe
These numbers with their crazy curve?
Type One rejects when null is right
Type Two accepts when it should fight
[Verse 2]
Alpha level sets our gate
Point zero five is standard fate
If p-value drops below this line
We reject null, the stars align
But errors lurk in both directions
False alarms and missed detections
[Chorus]
Null says nothing's happening here
Alternative whispers change is near
P-value tells us what's the chance
Of seeing data's strange dance
If null were true, would we observe
These numbers with their crazy curve?
Type One rejects when null is right
Type Two accepts when it should fight
[Bridge]
Innocent until proven guilty
That's how null hypothesis works really
Evidence must be strong enough
To overturn our default stuff
Beta error hides the truth
While alpha screams without proof
[Verse 3]
Two-tailed tests check both extremes
One-tailed focuses on themed dreams
Critical region marks the zone
Where null gets overthrown
Statistical significance doesn't mean
Practical importance in the scene
[Final Chorus]
Null says nothing's happening here
Alternative whispers change is near
P-value tells us what's the chance
Of seeing data's strange dance
Type One and Two both lead astray
When we misread what numbers say
But proper testing shows the light
Between the wrong and statistically right