Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Chapter 12.2, Problem 20E

Are you an optimist? The General Social Survey asked 1373 men and 993 women m the United

States Whether they agreed that they were generally optimistic about the future. The results are presented in the following table.

Chapter 12.2, Problem 20E, Are you an optimist? The General Social Survey asked 1373 men and 993 women m the United States

  1. Compute the value of the 72 statistic for testing the hypothesis that the opinion on optimism is independent of gender.
  2. Compute the proportion of men who were optimistic.
  3. Compute the proportion of women who were optimistic.
  4. Compute the test statistic z for testing the null hypothesis that the two proportions are equal versus the alternative that they are not equal.
  5. Show that x 2 = z 2 .
  6. Use technology to find the P-value for each test. Show that the P-values are equal.
  7. Conclude that when a contingency table has two rows and two columns, the chi-square test is equivalent to the test for the difference between proportions.

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Chapter 12 Solutions

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

Ch. 12.1 - Following are observed frequencies. The null...Ch. 12.1 - Following are observed frequencies. The null...Ch. 12.1 - Is the lottery fair? Mega Millions is a multistate...Ch. 12.1 - Grade distribution: A statistics teacher claims...Ch. 12.1 - False alarm: The numbers of false fire alarms were...Ch. 12.1 - Crime rates: The FBI computed the proportion of...Ch. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Economic future: A Heartland Monitor poll taken in...Ch. 12.1 - Prob. 28ECh. 12.1 - Fair die? A gambler rolls a die 600 times to...Ch. 12.2 - In Exercises 3-5, fill in each blank with the...Ch. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - In Exercises 6-8, determine whether the statement...Ch. 12.2 - For the given table of observed frequencies:...Ch. 12.2 - For the given table of observed frequencies:...Ch. 12.2 - Carbon monoxide: A recent study examined the...Ch. 12.2 - Beryllium disease: Beryllium is an extremely...Ch. 12.2 - No smoking: The General Social Survey conducted a...Ch. 12.2 - How big is your family? The General Social Survey...Ch. 12.2 - Age discrimination: The following table presents...Ch. 12.2 - Schools and museums: Do people who are interested...Ch. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Are you an optimist? The General Social Survey...Ch. 12 - A contingency table containing observed values has...Ch. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Exercises 4-9 refer to the following data:...Ch. 12 - Prob. 8CQCh. 12 - Exercises refer to the following data: Electric...Ch. 12 - Prob. 10CQCh. 12 - Exercises 10-15 refer to the following data:...Ch. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - Prob. 1WAICh. 12 - Prob. 2WAICh. 12 - Prob. 3WAICh. 12 - Prob. 4WAICh. 12 - Prob. 1CSCh. 12 - Prob. 2CSCh. 12 - Prob. 3CSCh. 12 - Prob. 4CSCh. 12 - Prob. 5CSCh. 12 - Prob. 6CSCh. 12 - Prob. 7CSCh. 12 - We conclude that department is associated with...
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