4 The types of raw material used to construct stone stools f

4. The types of raw material used to construct stone stools found at the archaeological site Casa del Rito are shown below. (Bandelier Archaeological Excavation Project edited by Kohler and Root). A random sample of 1486 stone tools are obtained from a current excavation site.

Raw Material

Regional Percent of Stone Tools

Observed Number of Tools at Current Excavation Site

Basalt

61.30%

906

Obsidian

10.60%

162

Welded tuff

11.40%

168

Pedernal chert

13.10%

197

Other

3.60%   

53

Total

100%

n = 1486

a)Test the claim that the regional distribution of raw materials fits the distribution at the current evaluation site. State null and alternative hypothesis.

b) Let = 0.10. Find and sketch the rejection region associated with this hypothesis test.

c) Compute the 2 test statistic and state your conclusion.

Solution