Need help on the part B

1. Ms. Hogan and Ms. Brantley believe that less than 30% of students at Olympia High School completed their math homework last week. They enlist the help of all the math teachers and select a random sample of 50 students and determine that 28% of those selected did their math homework last week. (a) Calculate the test statistic. Show your work. Test Statistic: -01 31 P value we read - 0131 from the 2 tables = 013783 50 0128 - DI3D 013 6 1 - 0:3) 250 0102 1 0.0 641 2-0.31 (b) Determine the p-value for your test statistic. Shade and label the graph appropriately. p-value= Assuming the test is carred as an alpha of ons our criticm value would be: 015 - 0105 0145 we read from the tables critical - 1,64 Value : - 1, 6449 MatsWithHogand 2018