EBK STATISTICS FOR BUSINESS & ECONOMICS
12th Edition
ISBN: 8220100460463
Author: Anderson
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.1, Problem 5E
Kate Sanders, a researcher in the department of biology at IPFW university, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012). Specially designed traps collected samples of fish at each of four stream locations. a research question was, Did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender? Observed frequencies were as follows.
Stream Location
| Gender | A | B | C | D |
| Male | 49 | 44 | 49 | 39 |
| Female | 41 | 46 | 36 | 44 |
- a. focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. use a .05 level of significance. What is the p-value and what is your conclusion?
- b. Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A researcher in a university's biology department studied the effect of agriculture contaminants on the stream fish population in northeastern Indiana. Specially-
designed traps collected samples of fish at each of four stream locations. A research question was "Did the differences in agricultural contaminants found at the
four locations alter the proportion of the fish population by gender?" Suppose observed frequencies were as follows.
Stream Locations
ABCD
Gender
53 48 53 43
Female 37 42 32 40
(a) Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level
of significance.
Male
State the null and alternative hypotheses.
O Ho: All population proportions are not equal.
H: PAPPc Po
OHO PA PB Pc Po
H: Not all population proportions are equal.
O Ho: Not all population proportions are equal.
HPA Pe Pc Po
OH PA
Pc Po
H: All population proportions are not equal.
A researcher in a university's biology department studied the effect of agriculture contaminants on the stream fish population in northeastern Indiana. Specially-designed traps collected samples of fish at each of four stream locations. A research question was "Did the
differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender?" Suppose observed frequencies were as follows.
Stream Locations
Gender
A
B
D
Male
51
46
51
41
Female
39
44
34
42
(a) Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level of significance.
State the null and alternative hypotheses.
O Ho: PA = PB = Pc = PD
H: Not all population proportions are equal.
O Ho: PA = PB = Pc = PD
H: All population proportions are not equal.
O Hn: All population proportions are not equal.
Ha: PA = PB = Pc = PD
O Ho: Not all population proportions are equal.
Hai PA = PB…
A healthcare provider notices an outbreak of foodborne illness among individuals who attended a holiday cookout. Which study type would be most beneficial in identifying the source of the outbreak?
Chapter 12 Solutions
EBK STATISTICS FOR BUSINESS & ECONOMICS
Ch. 12.1 - use the sample data below to test the hypotheses...Ch. 12.1 - reconsider the observed frequencies in exercise 1...Ch. 12.1 - The sample data below represent the number of late...Ch. 12.1 - Benson Manufacturing is considering ordering...Ch. 12.1 - Kate Sanders, a researcher in the department of...Ch. 12.1 - A tax preparation firm is interested in comparing...Ch. 12.1 - Social networking is becoming more and more...Ch. 12.1 - A manufacturer is considering purchasing parts...Ch. 12.2 - The following table contains observed frequencies...Ch. 12.2 - The following table contains observed frequencies...
Ch. 12.2 - A Bloomberg Businessweek subscriber study asked,...Ch. 12.2 - A Deloitte employment survey asked a sample of...Ch. 12.2 - health insurance benefits vary by the size of the...Ch. 12.2 - A vehicle quality survey asked new owners a...Ch. 12.2 - The Wall Street Journal Corporate Perceptions...Ch. 12.2 - As the price of oil rises, there is increased...Ch. 12.2 - The national Sleep Foundation used a survey to...Ch. 12.2 - Prob. 18ECh. 12.3 - Test the following hypotheses by using the 2...Ch. 12.3 - The following data are believed to have come from...Ch. 12.3 - During the first 13 weeks of the television...Ch. 12.3 - Mars, Inc. manufactures MMs, one of the most...Ch. 12.3 - The wall street Journals Shareholder Scoreboard...Ch. 12.3 - The national highway Traffic Safety administration...Ch. 12.3 - use = .01 and conduct a goodness of fit test to...Ch. 12.3 - The weekly demand for a product is believed to be...Ch. 12 - In a quality control test of parts manufactured at...Ch. 12 - Phoenix Marketing international identified...Ch. 12 - Samples taken in three cities, Anchorage, Atlanta,...Ch. 12 - A Pew Research Center survey asked respondents if...Ch. 12 - Bara Research Group conducted a survey about...Ch. 12 - An ambulance service responds to emergency calls...Ch. 12 - Based on sales over a six-month period, the five...Ch. 12 - A random sample of final examination grades for a...Ch. 12 - A salesperson makes four calls per day. A sample...Ch. 12 - In a study conducted by Zogby International for...
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
- A medical geographer in Kenya is studying the distribution of an infectious strain of "sleeping sickness". She believes it should be more prevalent among human populations that live in river floodplains. Data were collected on the number of infections from a random sample of 100 people on a floodplain and a second sample of 125 people living in an adjacent highlands area. 10 people from the floodplain and 8 people from the highlands were found to be infected. The proportion of people on a flood plain that were infected is P1. The proportion of people from the highlands is that were infected is P2. What is the null hypothesis? OP1 *P2 P1 > P2 P1 P2 P1 s P2 P1 = P2arrow_forwardA survey was conducted to determine the impact of contamination on property values. Home owners were randomly selected from each of seven states-A, B, C, D, E, F, and G. Each homeowner was asked to estimate the property value of a home located in an area contaminated by a certain substance. The dependent variable of interest was the substance discount percentage (the difference between the current home value and the estimated value after contamination, as a percentage). The researchers were interested in comparing the mean substance discount percentages across the seven states. Complete parts a and b. ... O D. Ho: H1 H2 # H3 # H4 # H5 # H6 # H7 Ha: At least two treatment means are equal b. An ANOVA summary table is shown to the right. Use the information provided to conduct the hypothesis test, part a. Use oa= 0.05. Source df MS F-value p-value States 6 0.1236 0.0206 1.65 0.150 Error 59 0.7372 0.0125 Total 65 0.8608 What is the rejection region? Select the correct choice below and fill…arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2323 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 15.8 pounds with a standard deviation of 1.9 pounds. The members of Group B had lost a mean of 16.6 pounds with a standard deviation of 1.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2…arrow_forward
- Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. An article reported that in one investigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows. Before: 14 29 62 123 64 62 After: 15 27 41 84 76 71 (a) The article included the statement "A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] State and test the appropriate hypotheses. (Use a = 0.05.)…arrow_forwardUse excel pleasearrow_forwardThis obstetrician also wanted to determine the impact that three experimental diets had on the birth weights of pregnant mothers. She was also interested if age had an impact on birth weights. She randomly selected 27 pregnant mothers in the first trimester of whom 9 were 20 to 29 years old, 9 were 30 to 39 years old, and 9 were 40 or older. For each age group, she randomly assigned the mothers to one of three diets. After delivery, she measured the birth weight (in grams) of the babies and obtained the data a) What is the blocking variable?arrow_forward
- A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2828 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 15.215.2 pounds with a standard deviation of 2.52.5 pounds. The members of Group B had lost a mean of 12.312.3 pounds with a standard deviation of 1.91.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 95%95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500500-mg supplement of calcium each day,…arrow_forwardPipes used in a water distribution network are susceptible to breakage due to a variety of factors. When pipes break, engineers must decide whether to repair or replace the broken pipe. A team of civil engineers estimated the ratio of repair to replacement cost of commercial pipe based on the diameter (in millimeters) of the pipe.(IHS Journal of Hydraulic Engineering,September 2012.) The ratios for a sample of 12 different pipe sizes are listed in the accompanying data table. Assume these data represent a random sample selected from all possible types of commercial pipe. A technology analysis of the data is also given. a. Locate a 95% confidence interval for the mean ratio of repair to replacement cost for all commercial pipe on the accompanying technology printout.arrow_forwardA cohort study was undertaken to test for association between arteriolosclerosis (hardening of the arterioles) and secondary hypertension. The data were split into 2 groups: subjects who had been treated with nonsteroidal anti-inflammatory drugs (NSAIDS) and those who had not. The stratified data are shown in Table 3: Treated with NSAIDS Exposure Category Secondary Hypertension No Secondary Hypertension Total Not Treated with NSAIDS Exposure Category Secondary Hypertension No Secondary Hypertension Total Table 3 Arteriolosclerosis 46 23 69 Arteriolosclerosis 79 25 104 No Arteriolosclerosis 251 724 975 No Arteriolosclerosis 405 446 851 Total 297 747 1044 Total 484 471 955 Obtain the stratum-specific odds ratios for the 2 groups and the odds ratio for the aggregate data. Comment on the association between arteriolosclerosis and secondary hypertension and the role played by NSAIDS in this association.arrow_forward
- The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. Excel File: data 10-41.xlsx Kitchen 25.2 17.4 22.8 21.9 19.7 Master Bedroom 18.0 22.9 26.4 24.8 26.9 Kitchen 23.0 19.7 16.9 21.8 23.6 Master Bedroom 17.8 24.6 21.0 a. Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative numbers. Report in thousands of dollars with no commas in your answer.) Point estimate = $ thousand b. Develop a 90% confidence interval for the difference between the two population means. (to 1 decimal and enter negative values as negative numbers) ) in thousands of dollars.arrow_forwardOrganizations such as J.D. Power and Associates use the proportion of owners likely to repurchase a particular automobile as an indication of customer loyalty for the automobile. An automobile with a greater proportion of owners likely to repurchase is concluded to have greater customer loyalty. A study was conducted to compare the customer loyalty for three automobiles: Chevrolet Impala, Ford Fusion, and Honda Accord. The study contained 500 respondents and the data is summarized in the Microsoft Excel Online file below. Use the spreadsheet to perform the required calculations and hypothesis test.arrow_forwardWhich research design studies only people who are initially free of the disease of interest? Explain how this study design is different from the rest of the research designs a. Case control b. Cohort c. Cross sectional d. Experimentalarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY