> p values <0.05 indicate that the results are not due to just chance
This is not how p values are used. See Gelman:
> The p-value does not tell you if the result was due to chance. It tells you whether the results are consistent with being due to chance. That is not the same thing at all.
“The relief we seek is limited and its value increasingly obsolete because the technology continues to evolve. We simply want the chance, with a search warrant, to try to guess the terrorist’s passcode without the phone essentially self-destructing and without it taking a decade to guess correctly. That’s it.
“We don’t want to break anyone’s encryption or set a master key loose on the land,” Comey continued. “I hope thoughtful people will take the time to understand that. Maybe the phone holds the clue to finding more terrorists. Maybe it doesn’t. But we can’t look the survivors in the eye, or ourselves in the mirror, if we don’t follow this lead. “
And even then, is 7% supposed to be a little or a lot? They say "hundreds of hours of dieting & exercising" but really that only affects an hour a day, maybe? I'd say that if I could spend 1 hour a day and get a 7% gain in happiness, it probably is worth it.
And perhaps there are other activities that require 1 hour that result in a 7% increase. Say: reading, socializing, writing. Then you've got 4 hours a day and get a 1.07^4 = 1.31 or 31% increase in happiness.