A Manufacturer of Flash Drives for Data Storage Operates a Production

Multiple Choice

A manufacturer of flash drives for data storage operates a production facility that runs on three 8-hour shifts per day. The following contingency table shows the number of flash drives that were defective and not defective from each shift. Based on the critical value approach and using α = 0.05, which of the following decisions and conclusions for this hypothesis test would be accurate?

A) The test statistic is greater than the critical value; we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another.
B) The test statistic is greater than the critical value; we fail to reject the null hypothesis and can conclude that the quality of the flash drive production and the production shift are independent of one another.
C) The test statistic is less than the critical value; we fail to reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are not independent of one another.
D) The test statistic is less than the critical value; we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another.