A sociologist studies a sample of college students to determine whether there are differences in the attitudes and behaviors of male and female students. The survey contains 20 questions. For one Question, which asks how much time students spend studying each week, the difference between Males and females is statistically significant with a P-value of 0.005. On all the other questions, the Differences are not statistically significant.
What P-value would be needed to conclude at the $\alpha = 0.05$ el that the time spent studying differs Between male and female students after applying the Bonferroni correction?
A) 1.0000
B) 0.0025
C) 0.0003
D) 0.1000

Question

Quizplus · Accepted Answer

The Bonferroni correction involves dividing the significance level (alpha) by the number of comparisons being made. In this case, there is only one comparison being made (time spent studying), so the Bonferroni-corrected P-value would be 0.05/1 = 0.05. To reject the null hypothesis (that there is no difference in time spent studying between male and female students) at the alpha level of 0.05, the P-value must be less than 0.05. The original P-value of 0.005 is already less than 0.05 and with the Bonferroni correction, it becomes 0.05/1=0.05/1=0.025, which is smaller than 0.05. Therefore, the original conclusion that the difference in time spent studying is statistically significant still holds even after applying the Bonferroni correction.

A Sociologist Studies a Sample of College Students to Determine α=0.05\alpha = 0.05α=0.05

A Sociologist Studies a Sample of College Students to Determine $\alpha = 0.05$