Question

The Los Angeles City Controller's office calculated that in 2013, the city employed 47030 full-time employees and 10142 part-time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part-time workers into full-time workers throughout 2014 The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per-event employees) who are full-time employees p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per-event employees) in June 2014 and found that 845 were full-time employees and 155 were part-time employees If the advocacy group planned to use a one-sample z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be Assume that the Controller's office implemented a policy in January 2014 to increase the proportion of part-time city employees in order to cut costs. Suppose that the office had access to the survey conducted by the advocacy group in June 2014 and wanted to use this survey to gauge the effect of this policy on p, the proportion of full-time employees, as of June 2014 If the Controller's office planned to use a one-sample z-test for a proportion to test the effect of their policy, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be In 2014, the U.S. Centers for Disease Control and Prevention reported that 9.3% ofAmericans had diabetes in 2013. Assume that the Los Angeles Controller's office wanted to determine if the same proportion of the employees of the City of Los Angeles were diabetic. Suppose that they surveyed a random sample of 250 employees in June 2014 and found that 26 were diabetic If the Controller's office planned to use a one-sample z-test for a proportion for their diabetes analysis, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be

Answer 1

1)

Ho: p = p0
Ha : p > p0

2)
Ho: p = p0
Ha : p > p0

3)
Ho : p = 0.093
Ha: p $\neq$ 0.093