91Ó°ÊÓ

Significance from a Table. A test of \(H_{0}: \mu=0\) against \(H_{a}: \mu \neq 0\) has test statistic \(z=1.65\). Is this test statistically significant at the \(5 \%\) level \((\alpha=0.05)\) ? Is it statistically significant at the \(1 \%\) level \((\alpha=0.01)\) ?

You use software to carry out a test of significance. The program tells you that the \(P\)-value is \(P=0.052\). This result is a. not statistically significant at eit her \(\alpha=0.05\) or \(\alpha=0.01\). b. stat istically significant at \(\alpha=0.05\) but not at \(\alpha=0.01\). c. statistically significant at both \(\alpha=0.05\) and \(\alpha=0.01\).

The \(z\) statistic for a one-sided test is \(z=1.62\). This test is a. not statistically significant at either \(\alpha=0.05\) or \(\alpha=0.01\). b. statistically significant at \(\alpha=0.05\) but not at \(\alpha=0.01\). c. stat istically significant at both \(\alpha=0.05\) and \(\alpha=0.01\).