In: Statistics and Probability
The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 479 parts passed the test, 15 parts failed the test but were repairable, and 6 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or F table)
b-1. Compute the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
c-1. At the 10% significance level, what is your conclusion?