Chapter 11.1, Problem 12P

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8th Edition

Charles Henry Brase + 1 other

ISBN: 9781337558075

Textbook Problem

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 expected values *E* to the hundredths place.

**Archaeology: Pottery** The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at a location in the Sand Canyon Archaeological Project, Colorado *(The Architecture of Social Integration in Prehistoric Pueblos,* edited by Lipe and Hegmon).

CeremonialRanking |
Cooking Jar Sherds |
Decorated Jar Sherds (Noncooking) |
Row Total |

A | 86 | 49 | 135 |

B | 92 | 53 | 145 |

C | 79 | 75 | 154 |

Column Total |
257 | 177 | 434 |

Use a chi-square lest to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.

**(a)**

To determine

The level of significance and state the null and alternative hypotheses.

Explanation

The level of significance,

The null hypothesis for testing is defined as,

**(b)**

To determine

**To test:** Whether all the expected frequencies are greater than 5. Also determine the value of chi-square statistic for the sample, the sampling distribution that should be used and degrees of freedom for the test.

**(c)**

To determine

The *P*-value of the sample statistic.

**(d)**

To determine

**To explain:** Whether we will reject or fails to reject the null hypothesis.

**(e)**

To determine

**To explain:** The conclusion in the context of application.

Sect-11.1 P-1PSect-11.1 P-2PSect-11.1 P-3PSect-11.1 P-4PSect-11.1 P-5PSect-11.1 P-6PSect-11.1 P-7PSect-11.1 P-8PSect-11.1 P-9PSect-11.1 P-10P

Sect-11.1 P-11PSect-11.1 P-12PSect-11.1 P-13PSect-11.1 P-14PSect-11.1 P-15PSect-11.1 P-16PSect-11.1 P-17PSect-11.1 P-18PSect-11.1 P-19PSect-11.2 P-1PSect-11.2 P-2PSect-11.2 P-3PSect-11.2 P-4PSect-11.2 P-5PSect-11.2 P-6PSect-11.2 P-7PSect-11.2 P-8PSect-11.2 P-9PSect-11.2 P-10PSect-11.2 P-11PSect-11.2 P-12PSect-11.2 P-13PSect-11.2 P-14PSect-11.2 P-15PSect-11.2 P-16PSect-11.3 P-1PSect-11.3 P-2PSect-11.3 P-3PSect-11.3 P-4PSect-11.3 P-5PSect-11.3 P-6PSect-11.3 P-7PSect-11.3 P-8PSect-11.3 P-9PSect-11.3 P-10PSect-11.3 P-11PSect-11.4 P-1PSect-11.4 P-2PSect-11.4 P-3PSect-11.4 P-4PSect-11.4 P-5PSect-11.4 P-6PSect-11.4 P-7PSect-11.4 P-8PSect-11.4 P-9PSect-11.4 P-10PSect-11.4 P-11PSect-11.4 P-12PSect-11.4 P-13PSect-11.4 P-14PSect-11.4 P-15PSect-11.4 P-16PSect-11.4 P-17PSect-11.4 P-18PSect-11.4 P-19PCh-11 P-1CRCh-11 P-2CRCh-11 P-3CRCh-11 P-4CRCh-11 P-5CRCh-11 P-6CRCh-11 P-7CRCh-11 P-8CRCh-11 P-9CRCh-11 P-10CRCh-11 P-11CRCh-11 P-12CRCh-11 P-13CRCh-11 P-14CRCh-11 P-15CRCh-11 P-DHGPCh-11 P-1LCWPCh-11 P-2LCWPCh-11 P-3LCWPCh-11 P-4LCWPCh-11 P-1CRPCh-11 P-2CRPCh-11 P-3CRPCh-11 P-4CRPCh-11 P-5CRPCh-11 P-6CRPCh-11 P-7CRP

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