The types of raw materials used to construct stone tools found at the archaeological site Casa del Rito are shown below (Bandelier Archaeological Excavation Project, edited by Kohler and Root). A random sample of 1486 stone tools was obtained from a current excavation site.

Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site.
Please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)€“(c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
(e) Your conclusion in the context of the application.

Transcribed Image Text:

Observed Number of Tools at Current Excavation Site Raw Material Basalt Obsidian Welded tuff Pedemal chert Other Regional Percentage of Stone Tools 61 .3% 10.6% 11.4% 15.1% 3.6% 906 162 168 197 53