Find a 90% confidence interval for the following proportion, X=92, n=254. 2. Construct a 99% confidence interval for the following sample, mean =84, standard deviation is 5.8 and the sample size is 32. In the following hypothesis problems you will be graded on 5 parts: 1) Ho and Ha, 2) The direction of the test, 3) The p-value or test-statistic, 4) The decision, (fail to reject or reject), 5) The conclusion, (does the data support the claim). 3. In a recent study 5000 surveys were sent out and 717 were returned. Use a .01 significance level to test the claim that the return rate is LESS than 15%. 4. In football among 460 overtime games 252 were won by the team that won the coin toss. Test the claim that the team that wins the coin toss winning percentage is GREATER than 50%. Use a significance level of .05. 5. 5.Test the claim that the population of student evaluations is NOT EQUAL to 4.00. The summary statistics are n=93, mean=3.91 and Sx=.53. Use a .05 significance level.