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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. Observed Number of Tools as 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% 915 152 157 214 48 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?

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. Observed Number of Tools as 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% 915 152 157 214 48 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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(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 sa, 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. O 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:(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 sa, 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. O 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. Observed Number of Tools as 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 different. H₁: The distributions are the same. O Ho: The distributions are the same. 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 different. Are all the expected frequencies greater than 5? O Yes O No 915 152 (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.) What sampling distribution will you use? O uniform O binomial O normal O Student's t O chi-square 157 214 48 What are the degrees of freedom?
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. Observed Number of Tools as 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 different. H₁: The distributions are the same. O Ho: The distributions are the same. 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 different. Are all the expected frequencies greater than 5? O Yes O No 915 152 (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.) What sampling distribution will you use? O uniform O binomial O normal O Student's t O chi-square 157 214 48 What are the degrees of freedom?
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