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(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.) 5080.54 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student'st O binomial

(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.) 5080.54 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student'st O binomial

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
Problem 1P
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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 Percent of Stone Tools Observed Number of Tools Raw Material as Current excavation Site Basalt 61.3% 922 Obsidian 10.6% 158 160 189 Welded Tuff 11.4% Pedernal chert 13.1% Other 3.6% 57 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 different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. OHo: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. 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.) 5080.54 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student'st 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% 922 Obsidian 10.6% 158 160 189 Welded Tuff 11.4% Pedernal chert 13.1% Other 3.6% 57 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 different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. OHo: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. 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.) 5080.54 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student'st binomial MacBook Pro
Student's t O binomial uniform O normal What are the degrees of freedom? 4. (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 < 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
Transcribed Image Text:Student's t O binomial uniform O normal What are the degrees of freedom? 4. (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 < 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
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