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 61.3% 10.6% 11.4% 13.1% 3.6% Observed Number of Tools as Current excavation Site 907 169 157 191 62 Raw Material Basalt Obsidian Welded Tuff Pedernal chert Other 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 the same. H1: The distributions are different. Họ: The distributions are different. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are different. Ho: The distributions are the same. H1: 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? O Yes No What sampling distribution will you use? Student's t uniform binomial normal chi-square What are the degrees of freedom?

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.