A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. The p-value for the difference between the two population means is
A) .0013.
B) .0027.
C) .4987.
D) .9987.

Question

A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information.  ​ The p-value for the difference between the two population means is
A) .0013. 
B) .0027. 
C) .4987. 
D) .9987.

Quizplus · Accepted Answer

Since the p-value is given as .0027, which is less than the significance level of .05, we can reject the null hypothesis and conclude that there is a significant difference in the abilities of students enrolled in statistics today and those enrolled five years ago. The smaller the p-value, the stronger the evidence against the null hypothesis. Therefore, option B is the correct answer as it represents the p-value that indicates a significant difference.

A Statistics Teacher Wants to See If There Is Any