Part 1: Analyzing your College’s School Graduation Rate
You recently went through your college website and someinformation there got your attention. There was a claim that yourcollege has a 77% graduation rate. You thought it would beinteresting to check the validity of this statement since thesedays you are reading about hypothesis testing in your Statisticsonline course. You contacted the research department and got accessto the data for the last graduation and out of 200 students 165graduated.
To complete Case 1 please answer the followingquestions:
- If you are to conduct a hypothesis test using the data above,
- Which test (t-test or z test) would you think be appropriateand why?
- Is this should be a test on population proportion or mean?
- Calculate the sample statistics (sample mean or sampleproportion based on the information given) (1 mark)
- Conduct the hypothesis test with a 0.01 level of significance.You may use ‘the percentage of graduates not equals to 0.77’ asyour alternative hypothesis. Please show your work, the 5 steps asdescribed in the textbook.
- Construct a 95% confidence interval for the populationproportion of graduates. Show your work.
