Statistics for Business & Economics
12th Edition
ISBN: 9781285528830
Author: David R. Anderson
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10.4, Problem 35E
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded.
Commercial A | Commercial B | |
Number Who Saw Commercial | 150 | 200 |
Number Who Recalled Message | 63 | 60 |
- a. Use α = .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials.
- b. Compute a 95% confidence interval for the difference between the recall proportions for the two populations.
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule08:45
Students have asked these similar questions
A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes:
Helpfulness to strangers
Admitted strangers into their home
Didnot admit strangers into their home
Big city dwellers
60
90
Small town dwellers
70
30
State the dependent and independent variable
Is this a directional or non directional
An educational psychologist is interested in whether using a child’s own name in a story affected attention span while reading. Six children were randomly assigned to read a story under ordinary conditions (using common and generic names). Five other children read versions of the same story, but with each child’s ownname substituted for one of the children in the story. The researcher measured the amount of time (in minutes) each child spent reading the story. The results are shown in the following table. Does including the child’s namemake any difference in attention span?
Test the hypothesis at an alpha set to .05, following these steps: a) write the null and alternative hypotheses; b) determine the critical value(s); c) draw the comparison distribution with rejection region(s) shaded; d)use the correct formula to compute the test statistic; e) state the statistical decision; f) state a brief conclusion.
A study was done to compare the flu incidence rates at the sart and at the end of winter of a given year. A sample of 100 persons were asked for incidence of flu twice: once at the start and once at the end of winter. Sample data were as follows
Chapter 10 Solutions
Statistics for Business & Economics
Ch. 10.1 - The following results come from two independent...Ch. 10.1 - Consider the following hypothesis test....Ch. 10.1 - Consider the following hypothesis test....Ch. 10.1 - Cond Nast Traveler conducts an annual survey in...Ch. 10.1 - The USA Today reports that the average expenditure...Ch. 10.1 - Suppose that you are responsible for making...Ch. 10.1 - Consumer Reports uses a survey of readers to...Ch. 10.1 - Will improving customer service result in higher...Ch. 10.2 - The following results are for independent random...Ch. 10.2 - Consider the following hypothesis test....
Ch. 10.2 - Consider the following data for two independent...Ch. 10.2 - The U.S. Department of Transportation provides the...Ch. 10.2 - The average annual cost (including tuition, room,...Ch. 10.2 - Are nursing salaries in Tampa, Florida, lower than...Ch. 10.2 - Commercial real estate prices and rental rates...Ch. 10.2 - The College Board provided comparisons of...Ch. 10.2 - Periodically, Merrill Lynch customers are asked to...Ch. 10.2 - Researchers at Purdue University and Wichita State...Ch. 10.3 - Consider the following hypothesis test. H0:d0Ha:d0...Ch. 10.3 - The following data are from matched samples taken...Ch. 10.3 - A market research firm used a sample of...Ch. 10.3 - The price per share of stock for a sample of 25...Ch. 10.3 - Bank of Americas Consumer Spending Survey...Ch. 10.3 - The Global Business Travel Association reported...Ch. 10.3 - The College Board SAT college entrance exam...Ch. 10.3 - Scores in the first and fourth (final) rounds for...Ch. 10.3 - A manufacturer produces both a deluxe and a...Ch. 10.4 - Consider the following results for independent...Ch. 10.4 - Consider the hypothesis test H0:p1p20Ha:p1p20 The...Ch. 10.4 - A Businessweek/Harris survey asked senior...Ch. 10.4 - The Professional Golf Association (PGA) measured...Ch. 10.4 - An American Automobile Association (AAA) study...Ch. 10.4 - Chicago OHare and Atlanta Hartsfield-Jackson are...Ch. 10.4 - Businessweek reported that there seems to be a...Ch. 10.4 - In a test of the quality of two television...Ch. 10.4 - Winter visitors are extremely important to the...Ch. 10.4 - The Adecco Workplace Insights Survey sampled men...Ch. 10 - Safegate Foods, Inc., is redesigning the checkout...Ch. 10 - Home values tend to increase over time under...Ch. 10 - Mutual funds are classified as load or no-load...Ch. 10 - The National Association of Home Builders provided...Ch. 10 - Prob. 42SECh. 10 - Country Financial, a financial services company,...Ch. 10 - A large automobile insurance company selected...Ch. 10 - Medical tests were conducted to learn about...Ch. 10 - Vacation occupancy rates were expected to be up...Ch. 10 - Prob. 47SECh. 10 - One of the researchers voiced concern about the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
3. For the same sample statistics, which level of confidence would produce the widest confidence interval? Expl...
Elementary Statistics: Picturing the World (6th Edition)
Ten equally qualified marketing assistants are candidates for promotion to associate buyer; seven are men and t...
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Red Blood Cells The distribution of red blood cell counts is different for men and women. For both, the distrib...
Introductory Statistics
Heights Refer to the dotplot in the previous question. a. What is the height of a woman with a z-score of -1? b...
Introductory Statistics (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have?arrow_forwardThe authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence an association between sex and character type for movie characters who smoke? Use α = 0.05. Sex = Male Female Positive Negative Neutral 256 Character Type 85 107 11 132 51 Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke. Fail to reject Ho.…arrow_forwardYou may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Italian Seafood Steakhouse $13 $16 $24 13 18 19 15 17 23 16 26 25 17 22 22 19 15 21 17 18 26 26 20 32 Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. O Ho: Hitalian = HSeafood = Hsteakhouse H: Not all the population…arrow_forward
- An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 49 41 Intermediate 55 44 Full-sized 64 47 Use ? = 0.05 to test for any significant differences. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =arrow_forwardAn educator is interested in determining if the medium used for online classes, whether a smartphone or laptop/desktop, influences the time (hrs) that Grade 12 students spend in these classes. A random sample of 10 students who were using smartphones and another random sample of 10 students who were using laptop/desktop were interviewed and reported the following times they spend in their daily online classes: Smartphone 0 30230 1 5 4 3 Medium for Online Class Laptop/Desktop 2 7 3 3 0 3 1 3 15 Suppose the assumption of equality of variance is satisfied. Perform an appropriate test of hypothesis to determine if the average time spent online significantly differs between the students using these two mediums. Use a 5% level of significance.arrow_forwardAn automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of…arrow_forward
- why the correct answer is letter D and why the letters C and E are wrong?arrow_forwardColor and Creativity Researchers from the University of British Columbia conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given below. Higher scores correspond to more creativity. The researchers make the claim that “blue enhances performance on a creative task.” a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. b. Construct the confidence interval appropriate for the hypothesis test in part (a). What is it about the confidence interval that causes us to reach the same conclusion from part (a)?arrow_forwardDo the data provide sufficient evidence to suggest that weight perception and smoking status are related in adolescents? Use α=.10.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License