Question

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 25 transects gave a sample variance for the number of sites per transect. Use an alpha = 0.1 to test the claim that the variance in the new section is greater than 37.9. Given 0.05 < P-Value < 0.1, will you reject or fail to reject the null hypothesis of independence

Answer 1

Here we want test the hypothesis that variance in the new section is greater than 37.9

H0 Variance is greater than 37.9

H1- variance is less than or equal to 37.9

And the given p value is <0.01 which is less than given level of significance (0.01)

Hence we reject the Null hypothesis.

Conclusion- We can not conclude that the variacne is greater than 37.9