Regional Percent of Observed Number of Raw Material Tools as Current Stone Tools excavation Site Basalt 61.3% 900 Obsidian 10.6% 153 Welded Tuff 11.4% 167 Pedernal chert 13.1% 217 Other 3.6% 49

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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. 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?
 
(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.)
 
What are the degrees of freedom?
 
(c) Find or estimate the P-value of the sample test statistic.
a) P-value > 0.100
b) 0.050 < P-value < 0.100
c) 0.025 < P-value < 0.050
d) 0.010 < P-value < 0.025
e) 0.005 < P-value < 0.010
f) P-value < 0.005
 
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
a) Since the P-value > α, we fail to reject the null hypothesis.
b) Since the P-value > α, we reject the null hypothesis.
c) Since the P-value ≤ α, we reject the null hypothesis.
d) Since the P-value ≤ α, we fail to reject the null hypothesis.
Regional
Percent of
Observed Number of
Raw Material
Tools as Current
Stone Tools
excavation Site
Basalt
61.3%
900
Obsidian
10.6%
153
Welded Tuff
11.4%
167
Pedernal chert
13.1%
217
Other
3.6%
49
Transcribed Image Text:Regional Percent of Observed Number of Raw Material Tools as Current Stone Tools excavation Site Basalt 61.3% 900 Obsidian 10.6% 153 Welded Tuff 11.4% 167 Pedernal chert 13.1% 217 Other 3.6% 49
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