In a random sample of 100 Students (i.e., trials, n), 27 indicated they were full- I time (i.e., events). < Use the information above, Minitab, and the five-step hypothesis testing procedure outlined below to determine if there is evidence that the population proportion of all students who are full-time is different from 0.5. < Question Set 1 < A: Write the hypotheses below. < B: Check the assumptions below. < C: Use Minitab to calculate the test statistic and p-value. < D: Decide to reject or fail to reject the null. < E: State a "real world" conclusion. Be sure to explain why you can make your conclusion. < F: Are the normal approximation assumptions met to construct a 95% confidence interval to estimate the proportion of population proportion of all students who are full-time? < G: Use Minitab to construct a 95% confidence interval to estimate the population proportion of all Students who are full time students. Be sure to identify the interval. < H: What sample size would be needed to construct a 95% confidence interval to estimate the proportion of Students who are full time with a margin of error of 5% (i.e., 0.05) ? Use the sample proportion (p^) for the proportion estimate (p~). < Show your calculations. Make sure to round your answer to the nearest whole number.