SCENARIO 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 Scenario 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

SCENARIO 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 Scenario 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

The critical value for a chi-square test at a 1% level of significance with a certain degree of freedom (not specified in the question but necessary for determining the correct critical value) can be looked up in a chi-square distribution table. Among the provided options, 13.2767 is a common critical value for a chi-square test at the 1% level for certain degrees of freedom, indicating a more stringent criterion for rejecting the null hypothesis compared to higher p-value thresholds.

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