transfer the fish at a = 0.05 15. Digger and Digger, a precious metals mining company, is considering the development of a new mining area. They have a lease on an area which they believe contains gypsum. The area will be profitable to mine if more than 15% of the rocks contain more than trace amounts of the mineral. Eighty rocks are randomly selected and the amount of gypsum is measured. Thirteen rocks in the sample are observed to have more than trace amounts of the mineral. Based on the sample data, should Digger and Digger conclude that the area will be profitable to mine? Use a = 0.01. 16. A socially conscious corporation wants to relocate their headquarters to another part of town. One concern expressed by workers is that their commuting distance will increase. The corporation has decided that if more than 50% of the employees will have to drive farther to the proposed new location, they will cancel the move. In a random sample of 398 employees, 201 indicated that their commuting distance to the new office will be longer. Based on the sample data, should the corporation cancel the move? Use a significance level of 0.01. 17. A production process will normally produce defective parts 0.2% of the time. In a random sample of 1400 parts, three defectives are observed. a. Is this overwhelming evidence at the 0.05 level to indicate that the defective rate of the process has increased? b. Compute the P-value for the test statistic. c. Based on the P-value, would the decision change at a = 0.01? lyi