A team of researchers conducted a single-sample t test and found that the 95 percent confidence interval around their sample mean includes the value of the population mean.Based on this, they should conclude that:
A) the null hypothesis should be rejected.
B) their data are insufficient to assess the validity of the null hypothesis.
C) they failed to find a significant difference between the sample and population means.
D) the research hypothesis is supported.

Question

Quizplus · Accepted Answer

If the 95 percent confidence interval around the sample mean includes the value of the population mean, this means that there is not a significant difference between the sample and population means. Therefore, the null hypothesis cannot be rejected as there is not enough evidence to support the research hypothesis. The data are sufficient to assess the validity of the null hypothesis, and the conclusion is that they failed to find a significant difference between the sample and population means.

A Team of Researchers Conducted a Single-Sample T Test and Found