In testing the mean of a sample, calculating a positive value of the t-statistic (t) necessarily implies ______.

A) the research hypothesis has been supported
B) you have done your calculations correctly (without making a mistake)
C) the value of the t-statistic falls in the region of rejection
D) the sample mean is greater than the hypothesized population mean

T-statistic

A ratio that is derived from the standardized difference between two sample means divided by the standard error of the difference, used in hypothesis testing.

Sample Mean

The average value computed from a sample set of data, representative of the population mean.

Hypothesized Population Mean

This is an assumed average of a particular characteristic in a population, used as a standard for hypothesis testing in statistical analysis.