The types of raw materials used to construct stone tools foundat an archaeological site are shown below. A random sample of 1486stone tools were obtained from a current excavation site. RawMaterial Regional Percent of Stone Tools Observed Number of Toolsas Current excavation Site Basalt 61.3% 914 Obsidian 10.6% 159Welded Tuff 11.4% 173 Pedernal chert 13.1% 195 Other 3.6% 45 Use a1% level of significance to test the claim that the regionaldistribution of raw materials fits the distribution at the currentexcavation site. (a) What is the level of significance? State thenull and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are thesame. H1: The distributions are different. H0: The distributionsare different. H1: The distributions are the same. H0: Thedistributions 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.) Are all theexpected frequencies greater than 5? Yes No What samplingdistribution will you use? chi-square Student's t uniform normalbinomial What are the degrees of freedom? (c) Find or estimate theP-value of the sample test statistic. P-value > 0.100 0.050 ?, we fail to reject the null hypothesis. Since the P-value> ?, we reject the null hypothesis. Since the P-value ? ?, wereject the null hypothesis. Since the P-value ? ?, we fail toreject the null hypothesis. (e) Interpret your conclusion in thecontext of the application. At the 0.01 level of significance, theevidence is sufficient to conclude that the regional distributionof raw materials does not fit the distribution at the currentexcavation site. At the 0.01 level of significance, the evidence isinsufficient to conclude that the regional distribution of rawmaterials does not fit the distribution at the current excavationsite.