Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:

The P-value for this table's chi-square statistic is
A) less than 0.001.
B) between 0.001 and 0.01.
C) between 0.01 and 0.05.
D) between 0.05 and 0.10.
E) between 0.10 and 0.15.

Question

Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:

The P-value for this table's chi-square statistic is
A) less than 0.001. 
B) between 0.001 and 0.01. 
C) between 0.01 and 0.05. 
D) between 0.05 and 0.10. 
E) between 0.10 and 0.15.

Quizplus · Accepted Answer

The chi-square test is used to determine whether there is a significant association between two categorical variables. In this case, the variables are enrollment status (public or private) and institutional control (full-time or part-time). The chi-square test statistic for this table is 498.85, with a degree of freedom of 1. The corresponding p-value for this statistic is less than 0.001. This means that there is a very strong evidence of association between enrollment status and institutional control, and we can reject the null hypothesis that these variables are independent. Therefore, the best choice is A, indicating that the p-value is less than 0.001.

Here Is a Two-Way Table Showing Enrollment Data for Full-Time