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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. Regional Raw Material Percent of Observed Number of Tools Stone Tools as Current excavation Site Basalt 61.3% Obsidian 10 6% 163 Welded Tuff 11.4% 164 Pedernal chert 13.1% 205 Other 3.6% LA USE SALT POUP Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distri current excavation site. a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions a H, : The distributions are different. End O Ho: The distributions are different. H, : The distributions are the same. O Ho: The distributions are the same. H, : The distributions are different. O Ho: The distributions are the same. Home H,: The distributions are the same. (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.) Are all the expected frequencies greater than 5? O Yes PetSch O N What sampling distribution will you use? O Student's t O chi-square O uniform O binomial O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 0.050 a, we fail to reject the null hypothesis Since the p-value Since the P-value S a, we reject the null hypothesis Since the P-va , we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 0.01 level of significance, the evidence is sufficle at the current excavation site. At the 0.01 level of signi current excavation site