After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 80 favor keeping the coach. Test at the 0.05 level of significance whether the proportion of alumni who support the coach is less than 50%. Required: a. State the null and alternate hypotheses. Ho: IT H IT 0.5 0.5 b. Make the decision rule. Note: Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places. Ho is rejected if z < c. Evaluate the test statistic. Note: Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places. Test statistic d. What is the decision regarding the null hypothesis? Ho is The proportion of alumni who supports the coach is fifty percent.