A Transect Is an Archaeological Study Area That Is Mile $\frac { 1 } { 5 }$

A transect is an archaeological study area that is mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance In a different section of Chaco Canyon, a random sample of 24 transects gave a sample variance for the number of sites per transect. Use an to test the claim that the variance in the new section is greater than 43.8. $\frac { 1 } { 5 }$ $\sigma ^ { 2 } = 43.8$ $s ^ { 2 } = 68.9$ $\alpha = 0.05$ Given that the value of is 36.18, find (or estimate) the P-value of the sample test statistic.
$\chi ^ { 2 }$

A) P-Value<0.005
B) 0.005 < P-Value < 0.01
C) 0.05 < P-Value < 0.1
D) 0.01 < P-Value < 0.05
E) 0.25 < P-Value < 0.5