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 38.8. $\frac { 1 } { 5 }$ $\sigma ^ { 2 } = 38.8$ $s ^ { 2 } = 64.4$ $\alpha = 0.05$ Given 0.01 < P-Value < 0.05, will you reject or fail to reject the null hypothesis of independence?

A) Since the P-Value is less than the level of significance, we reject the null hypothesis that the variance is equal to 38.8. At 0.05 level of significance, we conclude that the variance is greater than 38.8.
B) Since the P-Value is less than the level of significance, we fail to reject the null hypothesis that the variance is equal to 38.8. At 0.05 level of significance, we conclude that the variance is greater than 38.8.
C) Since the P-Value is greater than the level of significance, we fail to reject the null hypothesis that the variance is greater than 38.8. At 0.05 level of significance, we conclude that the variance is equal to 38.8.
D) Since the P-Value is less than the level of significance, we reject the null hypothesis that the variance is greater than 38.8. At 0.05 level of significance, we conclude that the variance is equal to 38.8.
E) Since the P-Value is greater than the level of significance, we reject the null hypothesis that the variance is equal to 38.8. At 0.05 level of significance, we conclude that the variance is greater than 38.8.