Colleges conduct student evaluations of instruction to determine if there are patterns of either excellence or the lack thereof by their instructors. These can have a large impact on tenure and promotion decisions at many institutions. One particular instructor had ratings in three courses in one semester as given by the table below (5 is agree strongly to 1 is disagree strongly) for the statement, The instructor is an excellent teacher.

The P-value for the ² test is

more than 0.10.

between 0.05 and 0.10.

less than 0.05.