null hypothesis

Thanks for reaching out!

If two people are solving the same problem and assume different null hypotheses, their approaches could potentially lead to different conclusions, which means their results might not both be correct in relation to the same dataset or context.
However, if they are testing different aspects of a problem, then the null hypotheses might naturally differ, and both solutions could be correct but would answer different questions.

Assuming different null hypotheses could lead to different solutions, so in general, for solving the same problem, they should align on the Ho.

Hope this helps.

Best,

Ivan