A manager is interested in determining if the population standard deviation has dropped below 120 . Based on a sample of n=23 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.05 significance level. The sample standard deviation is 116 . Determine the null and alternative hypotheses.
A. H0​:σ2<14,400HA​:σ2≥14,400​
B. H0​:σ2<120HA​:σ2≥120​
C. H0​:σ2=120HA​:σ2=120​
D. H0​:σ2≥14,400HA​:σ2<14,400​ State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.)
A. If the test statistic, χ2<χ1−α2​=, reject H0​. Otherwise, do not reject H0​.
B. If the test statistic, χ2>χα/22​=, reject H0​ or if the test statistic, χ2<χ1−α/22​=, reject H0​. Otherwise, do not reject H0​.
C. If the test statistic, χ2>χα2​=, reject H0​. Otherwise, do not reject H0​.