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This question refers to xcavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stor information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools Material Basalt Obsidian Pedernal chert Other Column Total USE SALT (a) What is the level of significance? 0.05 766 110 522 83 1481 State the null and alternate hypotheses. Ho: Stone tool material and site are independent. H₁: Stone tool material and site are not independent. 549 85 513 96 1243 O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are independent. No O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are not independent. 1315 195 1035 179 2724 O Ho: Stone tool material and site are independent. H₁: Stone tool material and site are independent. (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 Are all the expected frequencies greater than 5? Yes What sampling distribution will you use? O uniform Student's t Ochi-square O normal

This question refers to xcavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stor information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools Material Basalt Obsidian Pedernal chert Other Column Total USE SALT (a) What is the level of significance? 0.05 766 110 522 83 1481 State the null and alternate hypotheses. Ho: Stone tool material and site are independent. H₁: Stone tool material and site are not independent. 549 85 513 96 1243 O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are independent. No O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are not independent. 1315 195 1035 179 2724 O Ho: Stone tool material and site are independent. H₁: Stone tool material and site are independent. (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 Are all the expected frequencies greater than 5? Yes What sampling distribution will you use? O uniform Student's t Ochi-square O normal

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone information in the following table. Use a chi-square test with 5% level of significance
This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stor information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools Material Basalt Obsidian Pedernal chert Other Column Total USE SALT (a) What is the level of significance? 0.05 Site A 766 110 522 83 1481 State the null and alternate hypotheses. Ho: Stone tool material and site are independent. H₁: Stone tool material and site are not independent. No O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are independent. O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are not independent. Site I 549 85 513 96 1243 O Ho: Stone tool material and site are independent. H₁: Stone tool material and site are independent. (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 Are all the expected frequencies greater than 5? Yes normal Row Total 1315 195 1035 179 2724 What sampling distribution will you use? O uniform Student's t chi-square
Transcribed Image Text:This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stor information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools Material Basalt Obsidian Pedernal chert Other Column Total USE SALT (a) What is the level of significance? 0.05 Site A 766 110 522 83 1481 State the null and alternate hypotheses. Ho: Stone tool material and site are independent. H₁: Stone tool material and site are not independent. No O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are independent. O Ho: Stone tool material and site are not independent. H₁: Stone tool material and site are not independent. Site I 549 85 513 96 1243 O Ho: Stone tool material and site are independent. H₁: Stone tool material and site are independent. (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 Are all the expected frequencies greater than 5? Yes normal Row Total 1315 195 1035 179 2724 What sampling distribution will you use? O uniform Student's t chi-square
What sampling distribution will you use? O uniform O Student's t ●chi-square O normal O binomial 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.) 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 ≤ 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. O At the 5% level of significance, there is sufficient evidence to conclude that stone tool construction material and site are not independent. O At the 5% level of significance, there is insufficient evidence to conclude that stone tool construction material and site are not independent.
Transcribed Image Text:What sampling distribution will you use? O uniform O Student's t ●chi-square O normal O binomial 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.) 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 ≤ 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. O At the 5% level of significance, there is sufficient evidence to conclude that stone tool construction material and site are not independent. O At the 5% level of significance, there is insufficient evidence to conclude that stone tool construction material and site are not independent.
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