Fill in the blank below. A researcher wants to show the mean from population 1 is less than the mean from population 2 in matched-pairs data. If the observations from sample 1 are X, and the observations from sample 2 are Y,, and d; = X, - Y, then the null hypothesis is H: H =0 and the alternative hypothesis is H,: H 0. A researcher wants to show the mean from population 1 is less than the mean from population 2 in matched-pairs data. If the observations from sample 1 are X, and the observations from sample 2 are Y, and d, = X, - Y, then the null hypothesis is Hn: Ha =0 and the alternative hypothesis is H,: p.

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