Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Textbook Question
Chapter 10.1, Problem 12P
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).
Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.
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Question 1
For the following scenarios provide the following:
• the null and alternative hypotheses
• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,
• explain how you should interpret a decision that rejects the null hypothesis, and
• explain how you should interpret a decision that fails to reject the null hypothesis.
a. A meal supplement provider claims that the average difference in calories between two
brands is 55.
Questions 6–10 refer to the sample data in the following table, which describes the fate of the passengers and crew aboard the Titanic when it sank on April 15, 1912. Assume that the data are a sample from a large population and we want to use a 0.05 significance level to test the claim that surviving is independent of whether the person is a man, woman, boy, or girl.
Given that the P -value for the hypothesis test is 0.000 when rounded to three decimal places, what do you conclude? What do the results indicate about the rule that women and children should be the first to be saved?
Chapter 10 Solutions
Understandable Statistics: Concepts and Methods
Ch. 10.1 - Statistical Literacy In general, are chi-square...Ch. 10.1 - Statistical Literacy For chi-square distributions,...Ch. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Interpretation: Test of Independence Consider...Ch. 10.1 - Prob. 9PCh. 10.1 - For Problems 919, please provide the following...
Ch. 10.1 - Prob. 11PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 19PCh. 10.2 - Statistical Literacy For a chi-square...Ch. 10.2 - Prob. 2PCh. 10.2 - Statistical Literacy Explain why goodness-of-fit...Ch. 10.2 - Prob. 4PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 7PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.3 - Statistical Literacy Does the x distribution need...Ch. 10.3 - Critical Thinking The x distribution must be...Ch. 10.3 - Prob. 3PCh. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - Prob. 11PCh. 10.4 - Prob. 1PCh. 10.4 - Statistical Literacy When using the F distribution...Ch. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - For Problems 512, please provide the following...Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.5 - In each problem, assume that the distributions are...Ch. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 5PCh. 10.5 - Prob. 6PCh. 10.5 - Prob. 7PCh. 10.5 - Prob. 8PCh. 10.5 - Prob. 9PCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 6PCh. 10.6 - Prob. 7PCh. 10 - Prob. 1CRPCh. 10 - Prob. 2CRPCh. 10 - Prob. 3CRPCh. 10 - Prob. 4CRPCh. 10 - Prob. 5CRPCh. 10 - Before you solve Problems 514, first classify the...Ch. 10 - Prob. 7CRPCh. 10 - Prob. 8CRPCh. 10 - Prob. 9CRPCh. 10 - Prob. 10CRPCh. 10 - Prob. 11CRPCh. 10 - Prob. 12CRPCh. 10 - Prob. 13CRPCh. 10 - Prob. 14CRPCh. 10 - Prob. 1DHCh. 10 - Prob. 1LCCh. 10 - Prob. 2LCCh. 10 - Prob. 1UTCh. 10 - Prob. 2UTCh. 10 - Prob. 3UT
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