This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the...


This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent.


This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave<br>the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent.<br>Stone Tool Construction Material<br>Material<br>Site A<br>Site B<br>Row Total<br>Basalt<br>Obsidian<br>728<br>587<br>1315<br>107<br>88<br>195<br>Pedernal chert<br>516<br>519<br>1035<br>Other<br>Column Total<br>89<br>90<br>179<br>1440<br>1284<br>2724<br>(a) What is the level of significance?<br>State the null and alternate hypotheses.<br>O Hn: Stone tool material and site are not independent.<br>H,: Stone tool material and site are independent.<br>O Hn: Stone tool material and site are independent.<br>H1: Stone tool material and site are not independent.<br>O Ho: Stone tool material and site are not independent.<br>H: Stone tool material and site are not independent.<br>O Ho: Stone tool material and site are independent.<br>H1: Stone tool material and site are independent.<br>(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.)<br>Are all the expected frequencies greater than 5?<br>O Yes<br>O No<br>What sampling distribution will you use?<br>O Student'st<br>O chi-square<br>O normal<br>O uniform<br>O binomial<br>

Extracted text: This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Stone Tool Construction Material Material Site A Site B Row Total Basalt Obsidian 728 587 1315 107 88 195 Pedernal chert 516 519 1035 Other Column Total 89 90 179 1440 1284 2724 (a) What is the level of significance? State the null and alternate hypotheses. O Hn: Stone tool material and site are not independent. H,: Stone tool material and site are independent. O Hn: Stone tool material and site are independent. H1: Stone tool material and site are not independent. O Ho: Stone tool material and site are not independent. H: Stone tool material and site are not independent. O Ho: Stone tool material and site are independent. H1: Stone tool material and site are independent. (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 Student'st O chi-square O normal O uniform O binomial
What are the degrees of freedom?<br>(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)<br>O p-value > 0.100<br>O 0.050 < p-value < 0.100<br>O 0.025 < p-value < 0.050<br>O 0.010 < p-value < 0.025<br>O 0.005 < p-value < 0.010<br>O p-value < 0.005<br>(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?<br>O Since the P-value > a, we fail to reject the null hypothesis.<br>O Since the P-value > a, we reject the null hypothesis.<br>O since the P-value <a, we reject the null hypothesis.<br>O Since the P-value sa, we fail to reject the null hypothesis.<br>(e) Interpret your conclusion in the context of the application.<br>O At the 5% level of significance, there is sufficient evidence to conclude that stone tool construction material and site are not independent.<br>O At the 5% level of significance, there is insufficient evidence to conclude that stone tool construction material and site are not independent.<br>

Extracted text: What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) 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
Jun 08, 2022
SOLUTION.PDF
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
Have files?