A researcher is interested whether an intervention successfully decreases prejudice in majority populations. When conducting an independent samples t-test, a researcher calculates the t-statistic with an alpha level of .05, and a 95% confidence interval of the mean difference. Which of the following is most likely true?
A) both procedures will lead to the same conclusion regarding statistical significance
B) both procedures will lead to a point estimate
C) both procedures may lead to difference results regarding whether the difference is statistically significant. This is because the traditional t-statistic is a point estimate and the confidence interval is an interval estimate.
D) The t-statistic and confidence interval will tell us fundamentally different information. The t-statistic compares mean differences, whereas the confidence interval will estimate the true effect size of the difference.

Question

Quizplus · Accepted Answer

The t-statistic and the 95% confidence interval are both methods used to determine statistical significance in hypothesis testing. If the t-statistic indicates a significant difference (p < .05), the 95% confidence interval for the mean difference will not include zero. Both methods are based on the same underlying statistical principles and data, leading to consistent conclusions about statistical significance.

A Researcher Is Interested Whether an Intervention Successfully Decreases Prejudice