Consider the following statements:
\(\style{font-family:Times New Roman;}{H_0:{\overset˜\mu}_D=0}\)
\(\style{font-family:Times New Roman;}{H_{\text{a}}:{\overset˜\mu}_D\neq0}\)
where\(\style{font-family:Times New Roman;}{{\overset˜\mu}_D={\overset˜\mu}_1-{\overset˜\mu}_2.\;}\)The null hypothesis can be interpreted as:
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population median 1 is larger than population median 2.
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population median 1 is different than population median 2.
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population median 1 is smaller than population median 2.
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population median 1 is the same as population median 2.