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The critical value of a one-sided test at a confidence level of more than 90% with 19 degrees of freedom is 1.729. The calculated t value of 1.729 is right on the threshold of rejection or acceptance, indicating borderline significance.

a. what is the meaning of this statement?

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Final answer:

The calculated t value of 1.729 is right on the threshold of rejection or acceptance, indicating borderline significance.

Step-by-step explanation:

The statement means that the calculated t value of 1.729 is right on the threshold of rejection or acceptance at a confidence level of more than 90% with 19 degrees of freedom. This indicates that the difference observed in the sample is borderline significant.

If the calculated t value was slightly higher, it would have exceeded the critical value and the null hypothesis would have been rejected.

Similarly, if the calculated t value was slightly lower, it would have fallen below the critical value and the null hypothesis would have been accepted.

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