Answered: Regional Percent of Observed Number of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

(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?

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.

(e) Interpret your conclusion in the context of the application.
a) At the 0.01 level of significance, the evidence is sufficient to conclude that the regional distribution of raw materials does not fit the distribution at the current excavation site.
b) At the 0.01 level of significance, the evidence is insufficient to conclude that the regional distribution of raw materials does not fit the distribution at the current excavation site.

Regional
Percent of
Observed Number of
Raw Material
Tools as Current
Stone Tools
excavation Site
Basalt
61.3%
903
Obsidian
10.6%
164
Welded Tuff
11.4%
173
Pedernal chert
13.1%
201
Other
3.6%
45

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