Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 12.3, Problem 137E
Eating Out Vegetarian. Repeal Exercise 12.136 by applying the formula in Exercise 12.134(a) if you can reasonably presume that at most 41% of the men sampled and at most 49% of the women sampled will be people who sometimes order veg. Compare the results obtained in Exercise 12.136 to those obtained here.
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A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents?
A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents?
Find the z-table here.
A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher.
Based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better?
A) There is convincing evidence because the interval is entirely above 0.
B) There is not convincing evidence because the sample sizes are too small.
C) There is convincing evidence because the number of clothing items receiving a…
Chapter 12 Solutions
Introductory Statistics (10th Edition)
Ch. 12.1 - Why is statistical inference generally used to...Ch. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Regarding a sample proportion: a. What is it? b....Ch. 12.1 - Regarding the phrase number of successes: a. For...Ch. 12.1 - For what is the phrase number of failures an...Ch. 12.1 - Explain the relationships among the sample...Ch. 12.1 - Prob. 9ECh. 12.1 - Repeat parts (b)(e) of Exercise 12.9 for samples...Ch. 12.1 - Prob. 11E
Ch. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Random Drug Testing. A Harris Poll asked Americans...Ch. 12.1 - Genetic Binge Eating. According to an article in...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.2512.30, we have given the...Ch. 12.1 - In each of Exercises 12.2512.30, we have given the...Ch. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - In each of Exercises 12.3112.36, we have specified...Ch. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - Prob. 37ECh. 12.1 - In Exercises 12.3712.42, we have specified the...Ch. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - Prob. 45ECh. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - Prob. 53ECh. 12.1 - The Nipah Virus. During one year, Malaysia was the...Ch. 12.1 - Literate Adults. Suppose that you have been hired...Ch. 12.1 - IMR in Singapore. The infant mortality rate (IMR)...Ch. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Asthmatics and Sulfites. Refer to Exercise 12.51. ...Ch. 12.1 - Drinking Habits. Refer to Exercise 12.52. a. Find...Ch. 12.1 - Factory Far mini; Funk. Refer to Exercise 12.53. ...Ch. 12.1 - The Nipah Virus. Refer to Exercise 12.54. a. Find...Ch. 12.1 - Product Response Rate. A company manufactures...Ch. 12.1 - Prob. 64ECh. 12.1 - President's Job Rating. A poll conducted by Gallup...Ch. 12.1 - Prob. 66ECh. 12.1 - In discussing the sample size required for...Ch. 12.1 - Prob. 68ECh. 12.1 - Prob. 69ECh. 12.1 - Prob. 70ECh. 12.1 - Prob. 71ECh. 12.1 - Prob. 72ECh. 12.1 - Prob. 73ECh. 12.1 - Prob. 74ECh. 12.1 - Prob. 75ECh. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.852.94, use Procedure 12.2 on page...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - Prob. 94ECh. 12.3 - Explain the basic idea for performing a hypothesis...Ch. 12.3 - Prob. 96ECh. 12.3 - Sunscreen Use. Industry Research polled teenagers...Ch. 12.3 - Consider a hypothesis test for two population...Ch. 12.3 - Prob. 99ECh. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - Prob. 101ECh. 12.3 - Prob. 102ECh. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - Prob. 107ECh. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - Prob. 111ECh. 12.3 - Prob. 112ECh. 12.3 - Prob. 113ECh. 12.3 - Prob. 114ECh. 12.3 - Prob. 115ECh. 12.3 - Prob. 116ECh. 12.3 - Prob. 117ECh. 12.3 - Hormone Therapy and Dementia. An issue of Science...Ch. 12.3 - Women in the Labor Force. The Organization for...Ch. 12.3 - Neutropenia. Neutropenia is an abnormally low...Ch. 12.3 - Prob. 121ECh. 12.3 - Prob. 122ECh. 12.3 - Prob. 123ECh. 12.3 - Prob. 124ECh. 12.3 - In each of Exercises 12.12212.127, we have given...Ch. 12.3 - Prob. 126ECh. 12.3 - Prob. 127ECh. 12.3 - In each of Exercises 12.12812.131, use the...Ch. 12.3 - Prob. 129ECh. 12.3 - Federal Gas Tax. The Quinnipiac University Poll...Ch. 12.3 - Blockers and Cancer. A Wall Street Journal...Ch. 12.3 - Prob. 132ECh. 12.3 - Prob. 133ECh. 12.3 - Prob. 134ECh. 12.3 - Prob. 135ECh. 12.3 - Eating Out Vegetarian. Refer to the study on...Ch. 12.3 - Eating Out Vegetarian. Repeal Exercise 12.136 by...Ch. 12 - Medical Marijuana? An international poll of...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Fill in the blanks. a. The mean of all possible...Ch. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Suppose that you are using independent samples to...Ch. 12 - Prob. 8RPCh. 12 - Prob. 9RPCh. 12 - Getting a Job. Refer to Problem 9. a. Determine a...Ch. 12 - Justice in the Courts? In an issue of Parade...Ch. 12 - Prob. 12RPCh. 12 - Small phone Ownership. The Pew Internet American...Ch. 12 - Smartphone Ownership. Refer to Problem 13. a. Find...Ch. 12 - Bulletproof Vests. In the New York Times article A...Ch. 12 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 12 - As you learned on page 544, recent research by R....
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