Miami University’s colors are white and red. There has been a recent movement on campus to change the university colors to cream and red. The movement has gained traction and Miami University has...

Miami University’s colors are white and red. There has been a recent movement on campus to change the university colors to cream and red. The movement has gained traction and Miami University has asked students, staff, faculty, and alumni to vote on their preferred school colors. In total, 892 people participated in this survey. The following data describe the number of people who voted to keep the colors white/red and the number of people who voted to change the colors to cream/red:

For this problem, complete the following steps by hand:

• Identify the two hypotheses.


• Determine the critical region for your decision (useα = 0.01).


• Compute the test statistic.


• Use the test statistic to make a decision and interpret that decision.