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 Tools Raw Material Percent of as Current excavation Site Stone Tools Basalt 61.3% 895 Obsidian 10.6% 153 Welded Tuff 11.4% 160 Pedernal chert 13.1% 216 Other 3.6% 62 A USE SALT 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. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. 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? O Yes O No What sampling distribution will you use? O normal O uniform Ochi-square O binomial O Student's t What are the degrees of freedom?

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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.
Regional
Observed Number of Tools
Raw Material
Percent of
as Current excavation Site
Stone Tools
Basalt
61.3%
895
Obsidian
10.6%
153
Welded Tuff
11.4%
160
Pedernal chert
13.1%
216
Other
3.6%
62
n USE SALT
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.
O Ho: The distributions are the same.
H,: The distributions are different.
O Ho: The distributions are different.
H,: The distributions are different.
O Ho: The distributions are different.
H,: The distributions are the same.
O Ho: The distributions are the same.
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?
O Yes
O No
What sampling distribution will you use?
O normal
O uniform
chi-square
O binomial
O Student'st
What are the degrees of freedom?
Transcribed Image Text: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 Tools Raw Material Percent of as Current excavation Site Stone Tools Basalt 61.3% 895 Obsidian 10.6% 153 Welded Tuff 11.4% 160 Pedernal chert 13.1% 216 Other 3.6% 62 n USE SALT 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. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. 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? O Yes O No What sampling distribution will you use? O normal O uniform chi-square O binomial O Student'st What are the degrees of freedom?
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