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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. Raw Material Basalt Obsidian Welded Tuff Pedernal chert Other USE SALT Regional Percent of Stone Tools 61.3% 10.6% 11.4% 13.1% 3.6% State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. 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? O Ho: The distributions are the same. H₁: The distributions are the same. No Observed Number of Tools as Current excavation Site Are all the expected frequencies greater than 5? Yes 900 160 166 216 44 (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.)

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. Raw Material Basalt Obsidian Welded Tuff Pedernal chert Other USE SALT Regional Percent of Stone Tools 61.3% 10.6% 11.4% 13.1% 3.6% State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. 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? O Ho: The distributions are the same. H₁: The distributions are the same. No Observed Number of Tools as Current excavation Site Are all the expected frequencies greater than 5? Yes 900 160 166 216 44 (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.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 14E
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What sampling distribution will you use? Obinomial uniform chi-square Student's t normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. OP-value> 0.100 0.050< P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005< P-value < 0.010 OP-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? Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. O Since the P-value ≤ a, we reject the null hypothesis. 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 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.
Transcribed Image Text:What sampling distribution will you use? Obinomial uniform chi-square Student's t normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. OP-value> 0.100 0.050< P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005< P-value < 0.010 OP-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? Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. O Since the P-value ≤ a, we reject the null hypothesis. 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 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.
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. Raw Material Basalt Obsidian Welded Tuff Pedernal chert Other USE SALT Regional Percent of Stone Tools 61.3% 10.6% 11.4% 13.1% 3.6% State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. 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? O Ho: The distributions are the same. H₁: The distributions are the same. Observed Number of Tools as Current excavation Site 900 160 166 216 44 Are all the expected frequencies greater than 5? Yes O No (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.)
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. Raw Material Basalt Obsidian Welded Tuff Pedernal chert Other USE SALT Regional Percent of Stone Tools 61.3% 10.6% 11.4% 13.1% 3.6% State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. 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? O Ho: The distributions are the same. H₁: The distributions are the same. Observed Number of Tools as Current excavation Site 900 160 166 216 44 Are all the expected frequencies greater than 5? Yes O No (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.)
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