(1) The students at college BYZ claim that the proportion of their student body that live at home with a parent is lower than the proportion of the student body at college GWF that live at home with a parent. In a random sample of 325 BYZ students there are 175 that live at home with a parent. In a random sample of 400 GWF students there are 222 that live at home with a parent. Test this claim using a significance level of 0.05. (a) Check the necessary conditions: (b) State your Hypotheses: Ho: H: (c) Find your level of significance, or : 0 = (d) Compute the P-Value: (Be sure to specify what you enter in your calculator) P-Value= (e) Determine whether or not to reject the null hypothesis. Why? (f) Give a clear conclusion