When would you use a one-sided test? If you want to avoid bias. If a fair coin is tossed 10,000 times, is it unlikely to reject the null hypothesis that the coin is fair? Yes. The Z-test statistic for H0: μ = 10, where σ = 2, at a significance level of 1% yields a p-value of .003. Should we reject H0? Yes. It depends on the sample size.