You wish to test the claim that the population mean is less than 71.4 at a significance level of a = 0.002. O Ho: = 71.4 and Hip 71.4 O Ho: = 71.4 and Ha:p # 71.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 31 with mean 70.5506 and a standard deviation of 5.5375. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis O prove the null hypothesis O fail to reject the null hypothesis O prove the alternate hypothesis As such, the final conclusion is that... O There is sufficient evidence to reject the claim that the population mean is less than 71.4. There is not sufficient evidence to reject the claim that the population mean is less than 71.4. There is sufficient evidence to conclude the claim that the population mean is less than 71.4. There is not sufficient evidence to condlude the claim that the population mean is less than 71.4