The types of raw materials used to construct stone tools found at an archaeologi

Question

The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were 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.

(a) What is the level of significance?

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

(c) What are the degrees of freedom?


(d) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 901 Obsidian 10.6% 152 Welded Tuff 11.4% 175 Pedemal chert 13.1% 202 Other 3.6% 56

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

Hence,

a) Level of significance = 0.01

b) Chi - square statistic = 0.880

c) Degrees of freedom = 4

d) P - value = 0.928

N DF Chi-Square P-value 1486 4 0.87951676 0.9275

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