8. [-/5.3 Points] DETAILS BBUNDERSTAT12 10.2.007.5. MY NOTES 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 Percent of Observed Number Material Stone of Tools as Current Tools excavation Site Basalt 61.3% 924 Obsidian 10.6% 157 Welded Tuff 11.4% 168 Pedernal chert 13.1% 183 Other 3.6% 54 LO 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 Ho: The distributions are different. H1: The distributions are different. Ho: The distributions are the same. H1: The distributions are different. Ho: The distributions are different. H1: The distributions are the same. Ho: The distributions are the same. H1: 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? Yes No What sampling distribution will you use? chi-square Student's t binomial uniform normal What are the degrees of freedom? c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. Since the P-value s a, we reject the null hypothesis. Since the P-value s a, we fail to reject the null hypothesis