Question

A factory worker’s union is appealing to the factory management for more vacation time for its employees. The union claims that the workers are more productive when they come back from vacation than before (in other words, that production rate and vacation status are related). The following table contains the production rates, measured in units per hour, for a sample of employees. The union feels that it needs to be 90% confident (level of significance = 0.10) before going into talks with the employers. Does the union have strong enough evidence to support its claim?

	100-125 Units Per Hr.	126-150 Units per Hr	More than 150 Units per Hr.	Total
Before Vacation:	210 Workers	319 Workers	58 Workers	587
After Vacation:	178 Workers	387 Workers	60 Workers	625
Total:	388	706	118	1212

Hypotheses:

Test Statistic and value:                                                                  P-value:

Conclusion:

Answer 1