Question

A random sample n=30 is obtained from a population with unknown variance. The sample variance s² = 100 and the sample mean is computed to be 85. Test the hypothesis at α = 0.05 that the population mean equals 80 against the alternative that it is more than 80. The null hypothesis Ho: µ = 80 versus the alternative H1: Ho: µ > 80.

Calculate the test statistic from your sample mean. Then calculate the p-value for this test using the test stat and the information about H1. Because you do not know the population variance, you should use Table A.2 for the t distribution to estimate the p-value. The p-value for this hypothesis test is approximately ？ %. Answer in percent form. For example, 5% should be written as 5.0 and 0.5% should be written as 0.005.

Answer 1