APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 9.6, Problem 50SE
a.
To determine
Check whether the percentage of children under the age of 5 who were given a throat swap for diagnosing strep throat is statistically significant decrease from the national rate of 40%.
b.
To determine
Check whether it is safe to assume normality of the sample proportion p.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 60 children under the age of 5 who received antibiotics for throat infections and found that 18 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent?
(a-1) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value _____ (a-2) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic _____
To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 100 children under the age of 5 who received antibiotics for throat infections and found that 30 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent?
(a-1) Choose the correct null and alternative hypotheses.
H0: π ≥ .40 vs. H1: π < .40
H0: π ≤ .40 vs. H1: π > .40
H0: π = .40 vs. H1: π ≠ .40
(a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your…
A medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and levels of blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Calculate the test statistic to test the claim that regular exercise and blood pressure are independent. Use α = 0.01.
Chapter 9 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 9.2 - If you repealed a hypothesis test 1,000 times (in...Ch. 9.2 - Define Type I and Type II errors for each...Ch. 9.2 - A firm decides to test its employees for illegal...Ch. 9.2 - A hotel installs smoke detectors with adjustable...Ch. 9.2 - What is the consequence of a false negative in an...Ch. 9.2 - Prob. 6SECh. 9.3 - A manufacturer claims that its compact fluorescent...Ch. 9.3 - Prob. 8SECh. 9.3 - Prob. 9SECh. 9.3 - The average age of a part-time seasonal employee...
Ch. 9.3 - Prob. 11SECh. 9.3 - Prob. 12SECh. 9.4 - Find the zcalc test statistic for each hypothesis...Ch. 9.4 - Prob. 14SECh. 9.4 - Prob. 15SECh. 9.4 - Prob. 16SECh. 9.4 - Green Beam Ltd. claims that its compact...Ch. 9.4 - The mean potassium content of a popular sports...Ch. 9.4 - Calculate the test statistic and p-value for each...Ch. 9.4 - Determine the p-value for each test statistic. a....Ch. 9.4 - Procyon Mfg. produces tennis balls. Weights are...Ch. 9.4 - The mean arrival rate of flights at OHare Airport...Ch. 9.4 - Prob. 23SECh. 9.4 - The Scottsdale fire department aims to respond to...Ch. 9.4 - The lifespan of xenon metal halide arc-discharge...Ch. 9.4 - Discuss the issues of statistical significance and...Ch. 9.4 - The target activation force of the buttons on a...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Estimate the p-value as a range using Appendix D...Ch. 9.5 - Prob. 33SECh. 9.5 - Prob. 34SECh. 9.5 - Prob. 35SECh. 9.5 - The manufacturer of an airport baggage scanning...Ch. 9.5 - Prob. 37SECh. 9.5 - The average weight of a package of rolled oats is...Ch. 9.5 - Prob. 39SECh. 9.5 - Prob. 40SECh. 9.5 - Prob. 41SECh. 9.5 - Prob. 42SECh. 9.5 - Prob. 43SECh. 9.6 - Interpret each p-value in your own words: a....Ch. 9.6 - Prob. 45SECh. 9.6 - Prob. 46SECh. 9.6 - May normality of the sample proportion p be...Ch. 9.6 - Prob. 48SECh. 9.6 - In a hospitals shipment of 3,500 insulin syringes,...Ch. 9.6 - Prob. 50SECh. 9.6 - Prob. 51SECh. 9.6 - The recent default rate on all student loans is...Ch. 9.6 - Prob. 53SECh. 9.6 - A Realtor claims that no more than half of the...Ch. 9.6 - BriteScreen, a manufacturer of 19-inch LCD...Ch. 9.6 - Perfect pitch is the ability to identify musical...Ch. 9.7 - A quality expert insects 400 items to test whether...Ch. 9.7 - Prob. 58SECh. 9.7 - For a certain wine, the mean pH (a measure of...Ch. 9.7 - Repeat the previous exercise, using = .05. For...Ch. 9.8 - A sample of size n = 15 has variance s2 = .35. At ...Ch. 9.8 - Prob. 62SECh. 9.8 - A sample of size n = 19 has variance s2 = .1.96....Ch. 9.8 - Prob. 64SECh. 9.8 - Prob. 65SECh. 9 - (a) List the steps in testing a hypothesis, (b)...Ch. 9 - (a) Explain the difference between the null...Ch. 9 - (a) Why do we say fail to reject H0 instead of...Ch. 9 - (a) Define Type I error and Type II error. (b)...Ch. 9 - (a) Explain the difference between a left-tailed...Ch. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - (a) Why do we prefer low values for and ? (b) For...Ch. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - (a) Explain what a p-value means. Give an example...Ch. 9 - Prob. 13CRCh. 9 - (a) What does a power curve show? (b) What factors...Ch. 9 - (a) In testing a hypothesis about a variance, what...Ch. 9 - Suppose you always reject the null hypothesis,...Ch. 9 - Suppose the judge decides to acquit all...Ch. 9 - High blood pressure, if untreated, can lead to...Ch. 9 - A nuclear power plant replaces its ID card...Ch. 9 - A test-preparation company advertises that its...Ch. 9 - Prob. 71CECh. 9 - Prob. 72CECh. 9 - Prob. 73CECh. 9 - Pap smears are a test for abnormal cancerous and...Ch. 9 - Prob. 75CECh. 9 - Prob. 76CECh. 9 - Malcheon Health Clinic claims that the average...Ch. 9 - The sodium content of a popular sports drink is...Ch. 9 - A can of peeled whole tomatoes is supposed to...Ch. 9 - At Ajax Spring Water, a half-liter bottle of soft...Ch. 9 - Prob. 81CECh. 9 - Prob. 82CECh. 9 - A U.S. dime weighs 2.268 grams when minted. A...Ch. 9 - A coin was flipped 60 times and came up heads 38...Ch. 9 - Prob. 85CECh. 9 - Prob. 86CECh. 9 - Prob. 87CECh. 9 - Prob. 88CECh. 9 - Prob. 89CECh. 9 - Prob. 90CECh. 9 - Prob. 91CECh. 9 - Prob. 92CECh. 9 - The average service time at a Noodles Company...Ch. 9 - Prob. 94CECh. 9 - Prob. 95CECh. 9 - Beer shelf life is a problem for brewers and...Ch. 9 - Prob. 97CECh. 9 - Prob. 99CECh. 9 - Prob. 100CECh. 9 - Prob. 101CECh. 9 - Prob. 102CECh. 9 - An experimental medication is administered to 16...Ch. 9 - The historical on-time percentage for Amtraks...Ch. 9 - After 7 months, none of 238 angioplasty patients...Ch. 9 - A certain brand of flat white interior latex paint...Ch. 9 - Prob. 107CECh. 9 - Prob. 108CECh. 9 - Prob. 109CE
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
- o combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 79 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent? (a-1) Choose the correct null and alternative hypotheses. H0: π ≥ .40 vs. H1: π < .40 H0: π ≤ .40 vs. H1: π > .40 H0: π = .40 vs. H1: π ≠ .40 (a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your…arrow_forwardThe state of California is working very hard to ensure that all elementary age students whose native language is not English become proficient in English by the sixth grade. Their progress is monitored each year using the California English Language Development test. The results for two school districts in southern California for the 2003 school year are given in the accompanying table.7 Do the data indicate a significant difference in the 2003 proportions of students who are fluent in English for the two districts? Use α = .01.arrow_forward31. 86% of women shave their legs. A cosmetologist thinks this is lower in Europe. A sample of 335 European women shows 285 shave their legs. Test the claim at α = .10arrow_forward
- Data from the Department of Motor Vehicles indicate that 80% of all licensed drivers are older than age 25 (thus, 20% or drivers are 25 or younger). In a sample of n = 50 people who recently received speeding tickets, 32 were older than 25 years and the other 18 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use α = .05.arrow_forwardThe background concentration of a chemical in soil was measured on ten random specimens of soil from an uncontaminated area. The measured concentrations, in mg/kg, are: 1.4, 0.6, 1.2, 1.6, 0.5, 0.7, 0.3, 0.8, 0.2, and 0.9. Soil from a neighboring area will be declared “contaminated” if test specimens contain a chemical concentration higher than the upper 99% confidence limit of the background level. What is the cleanup target concentration?arrow_forwardIn a random survey of 500 doctors that practice specialized medicine, 125 felt that the government should control health care. In a random sample of 800 doctors that were general practitioners, 240 felt that the government should control health care. Test the claim that there is a difference in the proportions. Use α = 0.10.arrow_forward
- Compute the value of the test statistic and conclude.arrow_forwardWith the increase in childhood obesity, the Pediatrics Association is concerned about the amount of physical activity children obtain daily. In 2012 the Pediatrics Association found that only 48% of children between the ages of five and twelve were physically active for at least one hour a day, where physically active refers to any activity that increases the child's heart rate to the aerobic zone. A random sample of 250 children between the ages of five and twelve was obtained. Of those sampled, 59% said they were physically active for at least one hour a day. At the 1% significance level, can the Pediatrics Association conclude that the proportion of children between the ages of five and twelve that are physically active for at least one hour a day has changed.arrow_forwardTo combat antibiotic resistance a throat swab is recommended to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Department of Health took a random sample of 60 children under the age of 5 who received antibiotics for throat infections and found that 18 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent?(a) state the null and alternative hypotheses.(b)Calculate the critical valuearrow_forward
- Over a 4-month period, among 30 people with bipolar disorder, patients who were given a high dose (10 g/day) of omega-3 fats from fish oil improved more than those given a placebo. This experiment involved a control group of subjects who received a placebo. Why didn't the experimenters just give everyone the omega-3 fats to see if they improved? Choose the correct answer below. O A. They need to avoid confounding the participants. O B. They need to compare omega-3 results to something. O C. They need to conserve omega-3 fats. O D. They need to blind the participants.arrow_forwardA large research project showed that in a sample of 750 adults, 60 of them experienced a midlife crisis . Use this data to test the claim that the percentage of adults who experienced midlife crisis is less than 10%. Use (alpha)= 0.05 .arrow_forwardA randomized prospective study is conducted to estimate the association between taking a drug and remission for patients with a specific type of cancer. The estimated incidence rate ratio of remission for the treatment group relative to the placebo is 1.35. What is the proper interpretation of this value? An individual (from the same cancer population) who does not take the drug is 35% less likely to go into remission as compared to an individual who has taken the drug. O In a random sample of 1,000 persons from the same cancer population, there would be 350 more remissions if these 1,000 persons took the drug as compared to if they did not take the drug. O An individual (from the same cancer population) who takes the drug is 35% more likely to go into remission as compared to an individual who has not taken the drug. O In a random sample of 1,000 persons from the same cancer population, there would be 650 less remissions if these 1,000 persons took the drug as compared to if they did…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY