Reference no: EM132263593

Data concerning employment status were collected from a sample of 100 students at the beginning of the Spring 2016 semester. In that sample of 100, 67 were employed full-time.

A. We want use these data to construct a 95% confidence interval to estimate the proportion of all students who are employed full-time. Is it appropriate to use the normal approximation method? Show how you checked assumptions.

B. Use Minitab Express to construct a 95% confidence interval to estimate the proportion of all students who are employed full-time. If assumptions were met in part A, use the normal approximation method. Remember to include all relevant Minitab Express output and to clearly identify your answer. Do not do hand calculations.

C. What sample size would be necessary to construct a 95% confidence interval to estimate the proportion of all students who are employed full-time with a margin of error of 5%? You will need to do hand calculations. Show all of your work.

D. We want to know if there is evidence that in the population of all students, more than 60% are employed full-time. Use Minitab Express and the five-step hypothesis testing procedure given below. Remember to include all relevant Minitab Express output. Do not do hand calculations.

Step 1: Check assumptions and write hypotheses

Step 2: Calculate the test statistic

Step 3: Determine the p value

Step 4: Decide between the null and alternative hypotheses

Step 5: State a "real world" conclusion