2 1.5 Consider the following hypothesis test: Ho: u = 60 against HA: M = 60 Suppose that the sample mean, significance level, and sample size remain the same. If the standard error of the sample mean decreases, what happens to the p-value? Always decreases Always increases Sometimes increases and sometimes decreases Stays the same Cannot answer, additional information is needed. 3 25 In a test of Ho: M = 60 against Ha: u 7 60 , the sample data yielded the test statistic z = 1.99. Find the p-value for the test. Round to four decimals if needed. 4 1.5 1.99. In a test of Ho: u = 60 against HA: H+ 60, the sample data yielded the test statistic z = Interpret the p-value for the test. If the population mean is equal to 60, the probability of observing a z-value >1.99 is equal to the p- value. If the population mean is not equal to 60, the probability of observing a z-value >1.99 is equal to the p- value. If the population mean is equal to 60, the probability of observing a z-value = 1.99 is equal to the p- value. If the population mean is equal to 60, the probability of observing a 2-value > 1.99 or 2-value