During the electoral campaign, the mayor comes under criticism that City Hall and local public utilities are discriminating against Asians in the hiring process (that Asians are less likely to be hired than other races/ethnicities). You find that the proportion of Asians employed by local authorities is 7%, in a random sample of 300 public employees, while they represent 10% of the general population.a. Conduct a hypothesis tests of whether City Hall is discriminating against Asians for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test. b. What is the p-value of your test?c. In the context of this problem what is Type I error and in describe the cost of making a Type I error 2-3 three sentences?
During the electoral campaign, the mayor comes under criticism that City Hall and local public utilities are discriminating against Asians in the hiring process (that Asians are less likely to be hired than other races/ethnicities). You find that the proportion of Asians employed by local authorities is 7%, in a random sample of 300 public employees, while they represent 10% of the general population.a. Conduct a hypothesis tests of whether City Hall is discriminating against Asians for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test. b. What is the p-value of your test?c. In the context of this problem what is Type I error and in describe the cost of making a Type I error 2-3 three sentences?d. In the context of this problem what is Type II error and in describe the cost of making a Type II error 2-3 three sentences?e. Conduct a hypothesis tests of whether City Hall has fair hiring practices for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test as well as the p-value for the test.
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