You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: M = 80.9 Ha: M # 80.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 81.4 94.7 76.7 97.4 73.4 84.4 87.9 82.5 88.8 90 85.8 86.2 90.7 84.4 86 74.4 88.8 90.2 88.3 86.6 88.3 82.3 97.4 85.4 84 73.4 65.9 95.6 84 88.1 86.2 72.8 85.2 75.6 83.3 65.9 90.7 100 82.1 80.5 77.7 76 89.5 77.7 92.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = -.4761 X What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = .6467 X