a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Họ: The distributions are the same. H: The distributions are different. O Họ: The distributions are different. H;: The distributions are the same. O Họ: The distributions are different. 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? O Yes O No What sampling distribution will you use? O binomial погmal uniform O Student's t O chi-square What are the degrees of freedom? C) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) d) Based on your answers in parts (a) to (e), 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. Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 0.01 level of significance, there is sufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent. At the 0.01 level of significance, there is insufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent.
a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Họ: The distributions are the same. H: The distributions are different. O Họ: The distributions are different. H;: The distributions are the same. O Họ: The distributions are different. 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? O Yes O No What sampling distribution will you use? O binomial погmal uniform O Student's t O chi-square What are the degrees of freedom? C) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) d) Based on your answers in parts (a) to (e), 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. Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 0.01 level of significance, there is sufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent. At the 0.01 level of significance, there is insufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent.
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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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
Obsidian
61.3%
922
10.6%
11.4%
155
Welded Tuff
170
Pedemal chert
Other
13.1%
3.6%
194
45
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 the same.
O Hn: The distributions are the same.
H: The distributions are different.
O Họ: The distributions are different.
H: The distributions are the same.
O Hn: The distributions are different.
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?
O Yes
O No
What sampling distribution will you use?
O binomial
O normal
O uniform
O Student's t
O chi-square
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
(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 s a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 0.01 level of significance, there is sufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent.
O At the 0.01 level of significance, there is insufficient evidence to conclude that the regional distribution of raw materials and the current excavation site distribution are not independent.
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