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I believe it is the direction of the stated objectives
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The direction of the alternative hypothesis in a one-sample t test is determined by direction of the stated objectives.

What is an alternative hypothesis?

As an opposite to the null hypothesis in a testing, it is a statement used in statistical inference experiment and it denoted by Ha or H1.

Hence, the direction of the alternative hypothesis in a one-sample t test is determined by direction of the stated objectives.

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