Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12.2, Problem 14AYU
Celebrex Celebrex, a drug manufactured by Pfizer, Inc., is used to relieve symptoms associated with osteoarthritis and rheumatoid arthritis in adults. In clinical trials of the medication, some subjects reported dizziness as a side effect. The researchers wanted to discover whether the proportion of subjects taking Celebrex who reported dizziness as a side effect differed significantly from that for other treatment groups. The following data were collected.
- a. Test whether the proportion of subjects within each treatment group who experienced dizziness are the same at the α = 0.01 level of significance.
- b. Construct a conditional distribution of side effect by treatment and draw a bar graph. Does this evidence support your conclusion in part (a)?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A pharmaceutical company is testing a new drug for a rare disease. In a clinical trial, 1000 patients
with the disease were randomly assigned to receive either the new drug or a placebo. After one
year, it was found that 60% of the patients who received the new drug experienced improvement,
compared to only 40% of those who received the placebo. Is the difference in improvement rates
statistically significant? Provide your rationale.
What is the summary of the overall model of the data shown in question 1? Is it one that you would trust from a statistical standpoint? specifically why ?
As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05.
Psychology
Chemistry
Engineering
Freshmen
3, 4, 4, 2, 4
4, 5, 7, 8, 4
5, 7, 7, 8, 5
Senior
4, 5, 5, 3, 5
8, 5, 6, 7, 7
9, 9, 8, 7, 9
Complete the ANOVA summary table below:
Source
SS
df
MS (variance)
F
MAJOR
CLASS
MAJOR*CLASS
ERROR/RESIDUAL
Nothing here
TOTAL
Nothing here
Nothing here
What can we conclude?…
Chapter 12 Solutions
Fundamentals of Statistics (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. 7AYUCh. 12.1 - Prob. 8AYUCh. 12.1 - In Problems 710, determine (a) the 2 test...Ch. 12.1 - In Problems 710, determine (a) the 2 test...
Ch. 12.1 - Applying the Concepts 11. NW Plain MMs According...Ch. 12.1 - Peanut MMs According to the manufacturer of MMs,...Ch. 12.1 - Prob. 13AYUCh. 12.1 - Prob. 14AYUCh. 12.1 - Always Wear a Helmet The National Highway Traffic...Ch. 12.1 - Religion in Congress Is the religious make-up of...Ch. 12.1 - Does It Matter Where I Sit? Does the location of...Ch. 12.1 - Racial Profiling On January 1, 2004, it became...Ch. 12.1 - Prob. 19AYUCh. 12.1 - Prob. 20AYUCh. 12.1 - Prob. 21AYUCh. 12.1 - Is the Die Loaded? A player in a craps game...Ch. 12.1 - Grade Distributions At Joliet Junior College, the...Ch. 12.1 - Population Shift An urban economist wonders if the...Ch. 12.1 - Prob. 25AYUCh. 12.1 - Living Alone? In 2000, 25.8% of Americans 15 years...Ch. 12.1 - Putting It Together: The V-2 Rocket in London In...Ch. 12.1 - Putting It Together: Weldons Dice On February 2,...Ch. 12.1 - Buying a New Car How much does the typical person...Ch. 12.1 - Why is goodness of fit a good choice for the title...Ch. 12.1 - Explain why chi-square goodness-of-fit tests are...Ch. 12.1 - Prob. 32AYUCh. 12.2 - True or False: The expected frequencies in a...Ch. 12.2 - In a chi-square test for ____ of proportions, we...Ch. 12.2 - The following table contains observed values and...Ch. 12.2 - The table in the next column contains observed...Ch. 12.2 - Prob. 5AYUCh. 12.2 - Prob. 6AYUCh. 12.2 - NW Family Structure and Sexual Activity A...Ch. 12.2 - Prenatal Care An obstetrician wants to learn...Ch. 12.2 - Health and Happiness Are health and happiness...Ch. 12.2 - Health and Education Does amount of education play...Ch. 12.2 - Social Well-Being and Obesity The Gallup...Ch. 12.2 - Profile of Smokers The following data represent...Ch. 12.2 - Efficacy of e-Cigs Do electronic cigarettes assist...Ch. 12.2 - Celebrex Celebrex, a drug manufactured by Pfizer,...Ch. 12.2 - NW Whats in a Word? In a recent survey conducted...Ch. 12.2 - Whats in a Word? Part II In a recent survey...Ch. 12.2 - Dropping a Course A survey was conducted at a...Ch. 12.2 - Prob. 18AYUCh. 12.2 - Prob. 19AYUCh. 12.2 - Prob. 20AYUCh. 12.2 - Putting It Together: Women, Aspirin, and Heart...Ch. 12.2 - Homeruns Go to...Ch. 12.2 - Explain the differences between the chi-square...Ch. 12.2 - Why does the test for homogeneity follow the same...Ch. 12.3 - Suppose a least-squares regression line is given...Ch. 12.3 - Prob. 2AYUCh. 12.3 - Prob. 3AYUCh. 12.3 - Prob. 4AYUCh. 12.3 - Prob. 5AYUCh. 12.3 - Prob. 6AYUCh. 12.3 - Prob. 7AYUCh. 12.3 - Prob. 8AYUCh. 12.3 - Prob. 9AYUCh. 12.3 - Prob. 10AYUCh. 12.3 - An Unhealthy Commute The following data represent...Ch. 12.3 - Credit Scores An economist wants to determine the...Ch. 12.3 - Height versus Head Circumference A pediatrician...Ch. 12.3 - Hurricanes The data in the next column represent...Ch. 12.3 - Concrete As concrete cures, it gains strength. The...Ch. 12.3 - Tar and Nicotine Every year the Federal Trade...Ch. 12.3 - Invest in Education Go to...Ch. 12.3 - American Black Bears In 1969, Dr. Michael R....Ch. 12.3 - CEO Performance (Refer to Problem 31 in Section...Ch. 12.3 - Bear Markets (Refer to Problem 32. Section 4.1) A...Ch. 12.3 - Age versus HDL Cholesterol A doctor wanted to...Ch. 12.3 - Prob. 22AYUCh. 12.3 - Influential Observations Zillow.com is a site that...Ch. 12.3 - Why is it important to perform graphical as well...Ch. 12.3 - Prob. 25AYUCh. 12.3 - Why is it desirable to have the explanatory...Ch. 12.4 - Intervals constructed about the predicted value of...Ch. 12.4 - Prob. 2AYUCh. 12.4 - Prob. 3AYUCh. 12.4 - Using the sample data from Problem 6 in Section...Ch. 12.4 - Prob. 5AYUCh. 12.4 - Prob. 6AYUCh. 12.4 - Prob. 7AYUCh. 12.4 - Prob. 8AYUCh. 12.4 - Prob. 9AYUCh. 12.4 - Prob. 10AYUCh. 12.4 - Prob. 11AYUCh. 12.4 - Tar and Nicotine Use the results of Problem 16 in...Ch. 12.4 - Prob. 13AYUCh. 12.4 - Prob. 14AYUCh. 12.4 - CEO Performance Use the results of Problem 19 from...Ch. 12.4 - Prob. 16AYUCh. 12.4 - Prob. 17AYUCh. 12 - Roulette Wheel A pit boss suspects that a roulette...Ch. 12 - Prob. 2RECh. 12 - Titanic With 20% of men, 74% of women, and 52% of...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Seat Choice and GPA A biology professor wants to...Ch. 12 - Apartments The following data represent the square...Ch. 12 - Calories versus Sugar The following data represent...Ch. 12 - A pit boss is concerned that a pair of dice being...Ch. 12 - Prob. 2CTCh. 12 - The Harris Poll asked a random sample of adult...Ch. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Crickets make a chirping noise by sliding their...Ch. 12 - The following data represent the height (inches)...Ch. 12 - A researcher believes that as age increases, the...Ch. 12 - CASE STUDY Feeling Lucky? Well, Are You? In fiscal...
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
- In an observational study it was found that people who had received the flu shot this year had better blood pressure readings, on average, than people who did not. Can it be claimed that the flu shot is the cause of the lower overall blood pressure? Why or why not?arrow_forwardIs there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked a random sample of mothers what they had fed their infant and they also recorded whether or not the child was autistic. Almost all brands of formula sold in the U.S. are now fortified with DHA (docosahexaenoic acid) and ARA (arachidonic acid). The data are in the table below. Do the data provide enough evidence to show that that what an infant is fed and autism are dependent? Test at the 1% level and round expected values to one decimal place. what an infant is fed yes (Observed) yes (Expected Value) no (Observed) no (Expected Value) Row Total breastmilk 6 422 428 formula with DHA/ARA 7 1156 1163 formula without DHA/ARA 15 525 540 Column Total 28 2103 2131 H: HypothesesHo:Ho:Select an answer whether or not a child has autism infant infants yes and Select an answer what an infant is fed infant infants no are Select an answer independent…arrow_forwardA recent study investigated whether the number of positive health behaviors (e.g., exercising, eating healthy) is predictive of a person's score on a happiness index, such that as positive health behaviors go up, happiness goes up. The results from the study, which was conducted with 12 people, were as follows: r = 0.63 and SSY = 56.0. What is the MSregression? What is the MSresidual? What is the calculated test statistic? Given the value of your calculated test statistic and your critical test statistic, do you reject the null?arrow_forward
- A hospital was interested in purchasing new thermometers for its Emergency Department. There were two different thermometer devices that were identified as being potentially suitable for purchase. The procurement officer asked nine Emergency Department nurses to use both thermometer devices during a shift. At the end of the shift, the officer asked them to rate how useable both devices were on a scale from 1 (not at all useable) to 7 (extremely useable). The data was non-normal. Assuming there were two zero-valued difference scores excluded from the analysis, and with an alpha level of .05, what is the critical value for the test? 2.306 2 4 3arrow_forwardThis was a question on my homework and I would like to know if I answered it correctly. Thank you for your help. A case-control study is conducted to assess the relationship between heavy alcohol use during the first trimester of pregnancy and miscarriage. Fifty women who suffered miscarriage are enrolled along with 50 who delivered full term. Each participant’s use of alcohol during pregnancy is ascertained. Heavy drinking is defined as 4 or more drinks on one occasion. The data are shown below. Miscarriage Delivered Full Term Heavy Alcohol Use 14 4 No Heavy Alcohol Use 36 46 Compute the odds of miscarriage in women with heavy alcohol use in pregnancy. 14/4 = 3.5 Compute the odds of miscarriage in women with no heavy alcohol use in pregnancy. 36/46 = .78 Compute the odds ratio for miscarriage as a function of heavy alcohol use. PPex= 14/100 = .14. PPunex= 36/100 = .36. .14(1-.14)/.36(1-.36) = .52arrow_forwardAs a good experimenter, you have built a predictive model of the experimental data. The differences between the actual response data and the model data are termed: A. Confounded data B. Nested experiments C. Residuals D. Efficiency of estimatorsarrow_forward
- Investigators wished to study whether pregnant women over the age of 42 were more likely to suffer from postnatal depression than the general population. The mean Edinburgh Postnatal Depression Scale rating for the population is estimated to be about 21. The 121 women over the age of 42 in the study reported a mean EPDS score of 23 (SD=1.7). You are interested in investigating if there a significant difference between the women in the study and the general population. What kind of sample and outcome is this?arrow_forwardA researcher conducts an independent-measures study to examine how the brain chemical serotonin is related to aggression. One sample of rats serves as a control group and receives a placebo that does not affect normal levels of serotonin. A second sample of rats, low serotonin group, receives a drug that lowers brain levels of serotonin. Then, the researcher tests the animals by recording the number of aggressive responses each of the rats display. See the data below. Is there a significant difference between the control group and the low serotonin group regarding the number of aggressive responses? Control Low Serotonin n = 10 n = 15 M = 14 M = 19 SS = 180.5 SS = 130 Perform a hypothesis test using independent-measures t-test. Use a two-tailed…arrow_forwardA researcher conducts an independent-measures study to examine how the brain chemical serotonin is related to aggression. One sample of rats serves as a control group and receives a placebo that does not affect normal levels of serotonin. A second sample of rats, low serotonin group, receives a drug that lowers brain levels of serotonin. Then, the researcher tests the animals by recording the number of aggressive responses each of the rats display. See the data below. Is there a significant difference between the control group and the low serotonin group regarding the number of aggressive responses? Control Low Serotonin n = 10 n = 15 M = 14 M = 19 SS = 180.5 SS = 130 Perform a hypothesis test using independent-measures t-test. Use a two-tailed…arrow_forward
- A researcher conducts an independent-measures study to examine how the brain chemical serotonin is related to aggression. One sample of rats serves as a control group and receives a placebo that does not affect normal levels of serotonin. A second sample of rats, low serotonin group, receives a drug that lowers brain levels of serotonin. Then, the researcher tests the animals by recording the number of aggressive responses each of the rats display. See the data below. Is there a significant difference between the control group and the low serotonin group regarding the number of aggressive responses? Control Low Serotonin n = 10 n = 15 M = 14 M = 19 SS = 180.5 SS = 130 Perform a hypothesis test using independent-measures t-test. Use a two-tailed…arrow_forwardA coworker claims that Skittles candy contains equal quantities of each color (purple, green, orange, yellow, and red). In other words, 1/5 of all Skittles are purple, 1/5 of all Skittles are green, etc. You, an avid consumer of Skittles, disagree with her claim. Test your coworker's claim at the a= 0.05 level of significance, using the data shown below from a random sample of 200 Skittles. The correct hypotheses for this test are O Ho: P₁ = P2; Hi P1 P2 O Ho: Skittles candy colors come in equal quantities; H₁: Skittles candy colors do not come in equal quantities O Ho: Taste the Rainbow; H₁: Do not Taste the Rainbow O Ho: Red Skittles are cherry flavored; H₁: Red Skittles are strawberry flavored Sample Skittles data: Color Count purple green orange yellow red 36 39 48 34 Test Statistic (2 decimal places): Give the p-value (4 decimal places): Select an answer The correct result is The appropriate conclusion is There is not sufficient evidence to warrant the rejection of the claim that…arrow_forwardRecent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Drodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. Alter receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patienL. The following data are similar to the results of the study. Using MS Excel, run the independent-measures single-factor ANOVA for this data: High Moderately Severe Low Moderate Moderate Severe 1.8 2.9 2.7 3.1 28 1.6 3.9 45 2.9 21 25 1 2.1 1.5 3.6 32 1.4 4.7 3.7 0.4 2.8 43 22 Fill in the summary lable for the ANOA test (Round arswers for S5 arnd MS to 3 decimal places,.) S.S. df. M.S. |Веtween Within TOTAL Also from Excel, obtain the necessary statistics for the ANOVA test: (Report Pvalue & Fratio accurate to 3 decimal places.) Fratio: pvalue: What is your final…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig 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
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY