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  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?

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Group of answer choices

Since the P-Value is less than the level of significance, we reject the null hypothesis that the variance is equal to 37.9. At 0.1 level of significance, we conclude that the variance is greater than 37.9.

Since the P-Value is less than the level of significance, we fail to reject the null hypothesis that the variance is greater than 37.9. At 0.1 level of significance, we conclude that the variance is equal to 37.9.

Since the P-Value is greater than the level of significance, we fail to reject the null hypothesis that the variance is equal to 37.9. At 0.1 level of significance, we conclude that the variance is greater than 37.9.

Since the P-Value is less than the level of significance, we fail to reject the null hypothesis that the variance is equal to 37.9. At 0.1 level of significance, we conclude that the variance is greater than 37.9.

Since the P-Value is greater than the level of significance, we fail to reject the null hypothesis that the variance is greater than 37.9. At 0.1 level of significance, we conclude that the variance is equal to 37.9.

Answer 1

Given:

Claim : The variance in the new section is greater than 37.9.

Hypotheses are;

0.05 < P-Value < 0.1

We reject null hypothesis if P-value is less than significance level, otherwise fail to reject.

Here P-value < 0.1, we reject Ho

Since the P-Value is less than the level of significance, we reject the null hypothesis that the variance is equal to 37.9. At 0.1 level of significance, we conclude that the variance is greater than 37.9.

Answer - option A