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Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
ISBN: 9781337558075

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Chapter
Section
BuyFindarrow_forward

Understanding Basic Statistics

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).

Ceremonial
Ranking
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, α=0.05.

The null hypothesis for testing is defined as,

H0

(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.

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