Question

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 Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 906 Obsidian 10.6% 160 Welded Tuff 11.4% 160 Pedernal chert 13.1% 205 Other 3.6% 55 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.

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 Observed Number of Raw Material Percent of Tools as Current Stone Tools excavation Site Basalt 61.3% 906 Obsidian 10.6% 160 Welded Tuff 11.4% 160 Pedernal chert 13.1% Other 3.6 % 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? 205 State the null and alternate hypotheses. C Ho: The distributions are the same. H: The distributions are the same. Ho: The distributions are the same. H: The distributions are different. C Ho: The distributions are different. H: The distributions are different. C Ho: The distributions are different. 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? Yes No What sampling distribution will you use? C normal Student'st binomial C uniform chi-square What are the degrees of freedom?

Answer 1

Selohan. net 0.01 from the given data a) as 0.01 Ho: the distributions are the same . Has the distributions are different - from the given table qob Co-E) -4.918 2.484 0.613 0.106 0.014 160 total xp = E 910.918 157.516 169.404 194,666 53.696 (o-E5/E 0.02655 0.03917 0.52204 0.548519 160 -9.404 0.131 205 10.334 0.036 lison 0.0 4 228 6.17863 1486 x. test stadistica < (0-5)% = 1.17863 =) Yess all expect frequencies are greater than 5 =) chi-square distribution is used: 2) df = kal 15-1

CP 9 P-valve - 0.88160436 P-value (0.88) Soil D) P-valve >0.100 d) P-value (0.88) > A fail to 2 (0:01 S resect Ho.. the p-value sa, we fail to reject the not =) since hypothesis. e) a) At the ool level at Signil conce is insufficient to conclude that the distribution as raw materials does not fit at the corrent excavation site. , the evidence regional the distributie