A Study Wants to Investigate Whether the Population Variance Is

Short Answer

A study wants to investigate whether the population variance is greater than 8, if a random sample of size 40, yielded a variance of 10. Which of the following are the correct null hypothesis and alternative hypotheses? $\begin{array}{|l|l|}\hline A.&\mathrm{Ho}: \sigma^{2}=10\\&H_{A}: \sigma^{2}>10\\\hline B.&\mathrm{H}_{o} \mathrm{~s}^{2}=10\\&\mathrm{H}_{\mathrm{A}}: \mathrm{s}^{2}>10 \\\hline C.&\mathrm{H}_{O} \mathrm{~s}^{2}=8\\&\mathrm{H}_{A}: s^{2}>8\\\hline D.&\text { Ho: } \sigma^{2}=8\\&\mathrm{H}_{\mathrm{A}}: \sigma^{2}>8\\\hline \end{array}$