Explanation Given info: The data represent the distribution of educational attainment in 2000. Calculation: The test hypotheses are given below: Null hypothesis: H 0 : The educational attainment in the U.S. is the same as in 2000. Alternative hypothesis: H 1 : The educational attainment is different today than it was in 2000. Decision rule: If χ 0 2 > χ α 2 , then reject the null hypothesis. The requirements that must be satisfied to perform a goodness-of-fit test are as follows: All the expected frequencies are greater than or equal to 1. That is, all E i ≥ 1 , where E i represents the expected counts of the category i. Not more than 20% of the expected frequencies are less than 5. The expected count for each category is obtained by dividing the number of possible outcomes in each throw with the total number of throws by the player. That is, the expected value is as follows: E i = 500 ( 0.158 ) = 79 Since all E i ≥ 1 , the requirements for the goodness-of-fit test are satisfied. The test statistic for the goodness-of-fit test is given as follows: χ 0 2 = ∑ ( O i − E i ) 2 E i The test statistic can be obtained as given below: Observed Count( O i ) Expected Rel. Freq. Expected Count( E i ) ( O i − E i ) 2 ( O i − E i ) 2 E i 72 0

Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)

5th Edition

ISBN: 9780134763699

Author: Michael Sullivan III

Publisher: PEARSON

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Chapter 12, Problem 2CT

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To test: Whether the data suggest that the distribution of educational attainment has changed since 2000.

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Chapter 12 Solutions

Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)

Ch. 12.1 - True or False: The shape of the chi-square...Ch. 12.1 - A _____ test is an inferential procedure used to...Ch. 12.1 - Suppose there are n independent trials of an...Ch. 12.1 - What are the two requirements that must be...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - Prob. 7AYU Ch. 12.1 - Prob. 8AYU Ch. 12.1 - In Problems 710, determine (a) the 2 test...Ch. 12.1 - In Problems 710, determine (a) the 2 test...

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To test: Whether the data suggest that the distribution of educational attainment has changed since 2000.

Solution Summary: The author explains that there is not enough evidence to conclude that the distribution of educational attainment has changed since 2000.

To test: Whether the data suggest that the distribution of educational attainment has changed since 2000.

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Chapter 12 Solutions