Moderate -0.5 This is a straightforward application of the Wilcoxon signed-rank test requiring only table lookup and comparison. The student must compare T=162 against the critical value for n=32 at 5% significance (one-tailed), which is routine procedure with no problem-solving or conceptual challenge beyond basic hypothesis test mechanics.
1 A Wilcoxon signed-rank test is carried out at the \(5 \%\) level of significance on a random sample of size 32 . The hypotheses are \(\mathrm { H } _ { 0 } : m = m _ { 0 } , \mathrm { H } _ { 1 } : m < m _ { 0 }\) where \(m\) is the population median and \(m _ { 0 }\) is a specific numerical value. The value obtained for the test statistic \(T\) is 162 . Find the outcome of the test.
1 A Wilcoxon signed-rank test is carried out at the $5 \%$ level of significance on a random sample of size 32 . The hypotheses are $\mathrm { H } _ { 0 } : m = m _ { 0 } , \mathrm { H } _ { 1 } : m < m _ { 0 }$ where $m$ is the population median and $m _ { 0 }$ is a specific numerical value. The value obtained for the test statistic $T$ is 162 . Find the outcome of the test.
\hfill \mbox{\textit{OCR S4 2018 Q1 [5]}}