91Ó°ÊÓ

Test and CI Results of \(99 \%\) confidence intervals are consistent with results of two-sided tests with which significance level? Explain the connection.

Error probability A significance test about a proportion is conducted using a significance level of \(0.05 .\) The test statistic equals \(2.58 .\) The P-value is 0.01 a. If \(\mathrm{H}_{0}\) were true, for what probability of a Type I error was the test designed? b. If this test resulted in a decision error, what type of error was it?