The types of raw materials used to construct stone tools found at the archaeological site Casa del Rito are shown below. A random sample of 1486 stone tools was obtained from a current excavation site.

Raw Material	Regional Percent of Stone Tools	Observed Number of Tools at Current Excavation Site
Basalt	61.3%	906
Obsidian	10.6%	162
Welded Tuff	11.4%	168
Pedemal Chert	13.1%	197
Other	3.6%	53

What is the level of significance? State the null and alternate hypotheses.

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.

1. 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?
2. Find or estimate the P-value of the sample test statistic.
3. Based on your answers in parts a, b, and c, will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
4. Interpret your conclusion in the context of the application.