A random sample of 800 undergraduates enrolled in management ethics courses was asked to respond on a scale from 1 (strongly disagree) to 7 (strongly agree) to the proposition that senior corporate executives are interested in social justice. The sample mean response was 4.1, and the sample standard deviation was 1.75. Test at the 1% significance level, against a two-sided alternative, the null hypothesis that the population mean is 4.

Calculate the decision statistic and state the conclusion of the test.