For Problems 9-19, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
(e) Interpret your conclusion in the context of the application.
Use the
Archaeology: Pottery The following table shows site type and type of pottery for a random sample of 628 sherds at a location in Sand Canyon Archaeological Project, Colorado (The Sand Canyon Archaeological Project. edited by Lipe).
Site Type | Pottery Type | Row Total Black-on- White | ||
Mesa Verde Black-on- White | McElmo-Black-on-White | Mancos Black-on- White |
||
Mesa Top | 75 | 61 | 53 | 189 |
Cliff-Talus | 81 | 70 | 62 | 213 |
Canyon | 92 | 68 | 66 | 226 |
Bench | ||||
Column Total | 248 | 199 | 181 | 628 |
Use a chi-square lest to determine if site type and pottery type are independent at the 0.01 level of significance.
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Chapter 11 Solutions
Understanding Basic Statistics
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning