A professor in the Faculty of Education is studying the education levels of adults in the province. She hypothesizes that the highest level of education achieved by people in the province has the following distribution: Education Didn't Finish High School Bachelor's Postgraduate Level High School Diploma Degree Degree Proportion 0.07 0.50 0.36 0.07 In a random sample of 600 people in the province, 40 didn't finish high school, 288 have a high school diploma, 240 have a bachelor's degree, and 32 have a postgraduate degree. (a) Conduct a hypothesis test at the 1% level of significance to investigate the professor's suspicion. You only need to show your calculations for one of the cells. Calculate the value of the test statistic and the P-value, and provide a properly worded conclusion. (4 marks) (b) Show how you arrive at the same conclusion if you had conducted the test using the critical value method. (1 mark) Paragraph v BIU