P=0.06 shouldn’t be scary. The difference between 0.05 and 0.06 isn’t very much; you are only 1% less confident that the difference you have observed is real. It doesn’t mean you don’t have a difference! However, sometimes it feels like a disaster. Remember, the data are what they are so say what you see!
A scarier costume is probably someone asking if you have done the appropriate stats test, corrected for multiple comparisons and/or have powered your experiment appropriately.
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