TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
-Referring to Table 12-4, the critical value of the test statistic at 1% level of significance is
A) 7.7794.
B) 13.2767.
C) 20.0902.
D) 23.2093.

Question

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.
  
The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
-Referring to Table 12-4, the critical value of the test statistic at 1% level of significance is
A) 7.7794. 
B) 13.2767. 
C) 20.0902. 
D) 23.2093.

Quizplus · Accepted Answer

At a 1% level of significance, the critical value for a chi-square distribution with a certain degree of freedom is typically found in statistical tables. Option B, 13.2767, is a common critical value for a chi-square test at this significance level.

TABLE 12-4 A Computer Used by a 24-Hour Banking Service Is Supposed