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. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 901 Obsidian 10.6% 159 Welded Tuff 11.4% 165 Pedemal chert 13.1% 204 Other 3.6% 57 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. (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) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

Explanation / Answer

The statistical software output for this problem is:

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

Hence,

b) Chi square statistic = 0.914

c) P - value = 0.923

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