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...


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
Basalt61.3%902
Obsidian10.6%165
Welded Tuff11.4%166
Pedernal chert13.1%204
Other3.6%49


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.


H
0: The distributions are the same.

H
1: The distributions are the same.H
0: The distributions are the same.

H
1: The distributions are different.H
0: The distributions are different.

H
1: The distributions are different.H
0: The distributions are different.

H
1: 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?

normal

uniform

chi-square

binomial

Student'st



What are the degrees of freedom?



(c) Find or estimate theP-value of the sample test statistic.



P-value > 0.100

0.050 P-value <>

0.025 P-value <>

0.010 P-value <>

0.005 P-value <>


P-value <>


Jun 08, 2022
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