11) Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any childcare benefits to their workers. A random sample of 430 manufacturing firms is selected, and only 32 of them offer child-care benets. Specify the rejection region that the union will use when testing ata = 0.10. 12) Determine the standardized test statistic, z, to test the claim about the population proportion p 2 0.132 given it = 48 and 13 = 0.11. Use a: = 0.05. 13) A recent study claimed that at least 15% ofjunior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At a = 0.05, test the claim. 14) A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government agency thinks that the company is cheating its customers. The agency selects 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.7 ounce. Use a 0.01 signicance level to test the agency's claim that the company is cheating its customers. Round the test statistic to the nearest thousandth. , 4 , 15) A shipping firm suspects that the mean life of a certain brand of tire used by its trucks is less than 40,000 miles. To check the claim, the rm randomly selects and tests 18 of these tires and gets a mean lifetime of 39,300 miles with a standard deviation of 1200 miles. At a = 0.05, test the shipping firm's claim