A two-tailed test of $H_0: ho=0iscarriedoutusing22pairedobservations.Theobservedvalueisis carried out using 22 paired observations. The observed value isiscarriedoutusing22pairedobservations.Theobservedvalueisr=-0.515$. The two-tailed p-value is 0.0142.
Complete the test at the 2% significance level.
Without further calculation, state the conclusion at the 1% significance level.
Explain why replacing the alternative hypothesis by $H_1: ho<0,$ after seeing the data would be inappropriate.