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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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal

(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 chi-square O Student's t O binomial O uniform O normal

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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. 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.) Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O chi-square O Student'st binomial O uniform normal
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. 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.) Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O chi-square O Student'st binomial O uniform normal
What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 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. 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 0.01 level of significance, the evidence is sufficient to conclude that the regional distribution of raw materials doe At the 0.01 level of significance, the evidence is insufficient to conclude that the regional distribution of raw materials d
Transcribed Image Text:What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 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. 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 0.01 level of significance, the evidence is sufficient to conclude that the regional distribution of raw materials doe At the 0.01 level of significance, the evidence is insufficient to conclude that the regional distribution of raw materials d
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