College . Yahoo You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: = 77.5 Ha:u + 77.5 You believe the population is normally distributed and you know the standard deviation is o = 13. obtain a sample mean of 81 for a sample of size n = 58. a.) The test is... left-tailed right-tailed two-tailed b. ) What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = c.) What is the p-value for this sample? (Report answer accurate to 4 decimal places. ) p-value = d.) The p-value is... O less than (or equal to) o greater than a e.) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null f.) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equa to 77.5