The types of raw matérials 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 Percent of Stone Tools 61.3% 10.6% 11.4% Observed Number of Tools as Current excavation Site Raw Material Basalt Obsidian Welded Tuff Pedernal chert 896 156 165 208 13.1% 3.6% Other 61 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?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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please complete the blank problem and or ones with a red x next to it

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greater
5?
Yes
No
What sampling distribution will you use?
O uniform
O chi-square
O Student'st
O normal
O binomial
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
O P-value > 0.100
O 0.050 < P-value < 0.100
O 0.025 < P-value < 0.050
O 0.010 < P-value < 0.025
O 0.005 < P-value < 0.010
O 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?
O Since the P-value > a, we fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the P-value s a, we reject the null hypothesis.
O Since the P-value < a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
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.
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.
MacBook Pro
Transcribed Image Text:greater 5? Yes No What sampling distribution will you use? O uniform O chi-square O Student'st O normal O binomial What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O 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? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. 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. 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. MacBook Pro
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 Percent
of Stone Tools
Observed Number of Tools
Raw Material
as Current excavation Site
Basalt
61.3%
896
Obsidian
Welded Tuff
Pedernal chert
10.6%
156
11.4%
165
13.1%
208
Other
3.6%
61
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?
0.01
State the null and alternate hypotheses.
O Ho: The distributions are the same.
H,: The distributions are the same.
O Ho: The distributions are different.
H,: The distributions are the same.
O Ho: The distributions are different.
H,: The distributions are different.
OHo: The distributions are the same.
H,: The distributions are different.
(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
O No
What sampling distribution will you use?
O uniform
chi-square
Student's t
O normal
binomial
MacBook Pro
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 Percent of Stone Tools Observed Number of Tools Raw Material as Current excavation Site Basalt 61.3% 896 Obsidian Welded Tuff Pedernal chert 10.6% 156 11.4% 165 13.1% 208 Other 3.6% 61 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? 0.01 State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. OHo: The distributions are the same. H,: The distributions are different. (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 O No What sampling distribution will you use? O uniform chi-square Student's t O normal binomial MacBook Pro
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