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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 MaterialRegional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 906 Obsidian 10.6% 159 Welded Tuff 11.4% 185 Pedernal chert 13.1% 188 Other 3.6% 48 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?
State the null and alternate hypotheses.
H0: The distributions are the same.
H1: The distributions are the same. H0: The distributions are the same.
H1: The distributions are different. H0: The distributions are different.
H1: The distributions are the same. H0: The distributions are different.
H1: The distributions are different.
(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.)
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