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 Percent Observed Number of Tools Raw Material of Stone Tools as Current excavation Site Basalt 61.3% 906 Obsidian 10.6% 157 Welded Tuff 11.4% 182 Pedernal chert 13.1% 184 Other 3.6% 57 In USE SALT 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. O H.: The distributions are the same. H, : The distributions are the same. O Ho: The distributions are different. H, : The distributions are different. O H.: The distributions are different. H, : The distributions are the same. O H: The distributions are the same. H, : 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. 96 F O W 12:04 PM Haze 8/24/2022 hpAre all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O chi-square Student's t binomial normal O uniform What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic O P-value > 0.100 0 0.050 a, we fail to reject the null hypothesis. Since the P-value >