Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10.2, Problem 9AYU
In Problems 7–12, test the hypothesis using (a) the classical approach and (b) the P-value approach. Be sure to verify the requirements of the test.
9. H0 : p = 0.55 versus H1 : p < 0.55
n = 150; x = 78; α = 0.1
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule04:19
Students have asked these similar questions
Please help me to explain these questions. Thank you.
You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and µ = 22. Determine which of the following statements are true.
I. The two-sided p-value is 0.0124.
II. You reject the null hypothesis H0.
III. You fail to reject H0 and make a Type II error.
Group of answer choices
I only
I and II only
III only
II only
I and III only
You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and µ = 22. Determine which of the following statements are true.
I. The two-sided p-value is 0.0124.
II. You reject the null hypothesis H0.
III. You fail to reject H0 and make a Type II error.
Chapter 10 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 10.1 - A _____ is a statement regarding a characteristic...Ch. 10.1 - _____ _____ is a procedure, based on sample...Ch. 10.1 - The _____ _____ is a statement of no change, no...Ch. 10.1 - The _____ _____ is a statement we are trying to...Ch. 10.1 - If we reject the null hypothesis when the...Ch. 10.1 - If we do not reject the null hypothesis when the...Ch. 10.1 - The _____ _____ _____ is the probability of making...Ch. 10.1 - True or False: Sample evidence can prove a null...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...
Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - Prob. 33AYUCh. 10.1 - Prob. 34AYUCh. 10.1 - Quality Control A can of soda is labeled as...Ch. 10.1 - Popcorn Consumption According to popcorn.org, the...Ch. 10.1 - E-Cigs According to the Centers for Disease...Ch. 10.1 - Migraines According to the Centers for Disease...Ch. 10.1 - Prob. 39AYUCh. 10.1 - Refer to Problem 18. Researchers must choose the...Ch. 10.1 - Retirement Savings Designed by Bill Bengen, the 4...Ch. 10.1 - If the consequences of making a Type I error are...Ch. 10.1 - What happens to the probability of making a Type...Ch. 10.2 - When observed results are unlikely under the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - Determine the critical value for a right-tailed...Ch. 10.2 - Determine the critical value for a left-tailed...Ch. 10.2 - Determine the critical value for a two-tailed test...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - Prob. 10AYUCh. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - You Explain It! Stock Analyst Throwing darts at...Ch. 10.2 - Prob. 14AYUCh. 10.2 - Applying the Concepts 15. Cramer Correct Less Than...Ch. 10.2 - Political Pundits In his book, The Signal and the...Ch. 10.2 - NW Lipitor The drug Lipitor is meant to reduce...Ch. 10.2 - Nexium Nexium is a drug that can be used to reduce...Ch. 10.2 - Fatal Traffic Accidents According to the National...Ch. 10.2 - Eating Together In December 2001, 38% of adults...Ch. 10.2 - NW Taught Enough Math In 1994, 52% of parents with...Ch. 10.2 - Living Alone? In 2000, 58% of females aged 15 and...Ch. 10.2 - Prob. 23AYUCh. 10.2 - Prob. 24AYUCh. 10.2 - Accuracy of the Drive Thru According to QSR...Ch. 10.2 - Prob. 26AYUCh. 10.2 - NW Small-Sample Hypothesis Test Professors Honey...Ch. 10.2 - Small-Sample Hypothesis Test In 1997, 4% of...Ch. 10.2 - Statistics in the Media A headline read, More Than...Ch. 10.2 - Prob. 31AYUCh. 10.2 - Political Philosophy According to Gallup, 21% of...Ch. 10.2 - Prob. 33AYUCh. 10.2 - Accept versus Do Not Reject In the United States,...Ch. 10.2 - Prob. 35AYUCh. 10.2 - Putting It Together: Lupus Based on historical...Ch. 10.2 - Putting It Together: Naughty or Nice? Yale...Ch. 10.2 - Explaining the Concepts 40. Explain what a P-value...Ch. 10.2 - Prob. 41AYUCh. 10.2 - Suppose we are testing the hypothesis Ho : p =...Ch. 10.2 - Discuss the advantages and disadvantages of using...Ch. 10.2 - The headline reporting the results of a poll...Ch. 10.2 - Explain what statistical significance means.Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10.3 - Prob. 4AYUCh. 10.3 - To test H0 : = 100 versus H1 : 100, a simple...Ch. 10.3 - Prob. 6AYUCh. 10.3 - Prob. 7AYUCh. 10.3 - To test H0 : = 4.5 versus H1 : 4.5, a simple...Ch. 10.3 - To test H0 : = 105 versus H1 : 105, a simple...Ch. 10.3 - To test H0 : = 45 versus H1 : 45, a simple...Ch. 10.3 - You Explain It! ATM Withdrawals According to the...Ch. 10.3 - You Explain It! Are Women Getting Taller? In 1990,...Ch. 10.3 - NW Ready for College? The ACT is a college...Ch. 10.3 - SAT Verbal Scores Do students who learned English...Ch. 10.3 - Effects of Alcohol on the Brain In a study...Ch. 10.3 - Effects of Plastic Resin Para-nonylphenol is found...Ch. 10.3 - Credit Scores A Fair Isaac Corporation (FICO)...Ch. 10.3 - TVaholics According to the American Time Use...Ch. 10.3 - Age of Death-Row Inmates In 2002, the mean age of...Ch. 10.3 - Energy Consumption In 2001, the mean household...Ch. 10.3 - NW Waiting in Line The mean waiting time at the...Ch. 10.3 - Reading Rates Michael Sullivan, son of the author,...Ch. 10.3 - Prob. 23AYUCh. 10.3 - Filling Bottles A certain brand of apple juice is...Ch. 10.3 - Starbucks Stock The volume of a stock is the...Ch. 10.3 - Study Time Go to...Ch. 10.3 - Prob. 27AYUCh. 10.3 - Prob. 28AYUCh. 10.3 - Problem 25 25. Starbucks Stock The volume of a...Ch. 10.3 - Problem 26 24. Filling Bottles A certain brand of...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Accept versus Do Not Reject The mean IQ score of...Ch. 10.3 - Reading at Bedtime It is well-documented that...Ch. 10.3 - Whats the Problem? The head of institutional...Ch. 10.3 - Prob. 38AYUCh. 10.3 - Prob. 39AYUCh. 10.4 - Prob. 1AYUCh. 10.4 - A simple random sample of size n = 200 individuals...Ch. 10.4 - Prob. 3AYUCh. 10.4 - Prob. 4AYUCh. 10.4 - Prob. 5AYUCh. 10.4 - Prob. 6AYUCh. 10.4 - Prob. 7AYUCh. 10.4 - The Atomic Bomb In October 1945, the Gallup...Ch. 10.4 - Course Redesign Pass rates for Intermediate...Ch. 10.4 - Number of Credit Cards According to the Federal...Ch. 10.4 - Prob. 11AYUCh. 10.4 - Prob. 12AYUCh. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - Prob. 16AYUCh. 10.4 - Prob. 17AYUCh. 10.4 - Confidence Intervals Suppose you wish to determine...Ch. 10.4 - Prob. 19AYUCh. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - Prob. 23AYUCh. 10.4 - Prob. 24AYUCh. 10.4 - Prob. 25AYUCh. 10 - For Problems 1 and 2, (a) determine the null and...Ch. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - Prob. 9RECh. 10 - Emergency Room The proportion of patients who...Ch. 10 - Linear Rotary Bearing A linear rotary bearing is...Ch. 10 - Prob. 12RECh. 10 - Conforming Golf Balls The U.S. Golf Association...Ch. 10 - Studying Enough? College mathematics instructors...Ch. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Explain the difference between accepting and not...Ch. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 1CTCh. 10 - The trade magazine QSR routinely examines...Ch. 10 - Did you get your 8 hours of sleep last night? is a...Ch. 10 - The outside diameter of a manufactured part must...Ch. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - CASE STUDY How Old Is Stonehenge? Approximately...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Matching In Exercises 17–20, match the level of confidence c with the appropriate confidence interval. Assume e...
Elementary Statistics: Picturing the World (7th Edition)
The following set of data is from sample of n=5: a. Compute the mean, median, and mode. b. Compute the range, v...
Basic Business Statistics, Student Value Edition
Cell phones and reaction times Example 13 in Chapter 10 compared reaction times in a simulated driving test for...
Statistics: The Art and Science of Learning from Data (4th Edition)
1. True? For the methods of this section, which of the following statements are true?
a. When testing a claim w...
Elementary Statistics (13th 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
- If you test the (one sample) null hypothesis that the population proportion p ≤ 0.3 and you get the test statistic value of z = -0.98, then using a 5% ignificance level, Group of answer choices the alternative hypothesis looks believable. the null hypothesis looks believable. the null and alternative hypotheses both look believable. none of the above.arrow_forwardQ2arrow_forwardIf the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?arrow_forward
- 2) Suppose that we are testing Ho:µ = 4 vs Ha: µ > 4. A p-value of 0.023 was determined. Which of the following is a correct interpretation of this p-value? (a) The null hypothesis would be rejected at a 5% level but not a 1% level. (b) The null hypothesis would be rejected at a 1% level but not a 5% level. (c) The null hypothesis would be rejected at both 5% and 1% levels. (d) The null hypothesis would not be rejected at either the 5% or 1% level.arrow_forwardRecords for an automobile leasing company indicate that the average number of miles their automobiles are driven annually has been about 16,000miles. The company suspects that this number decreased last year. Suppose that the company wants to choose a small sample of distances driven in the past year and perform a hypothesis test to determine its suspicion. Formulate the null hypothesish and the alternative hypothesish that would be used to perform this test. ho: 0 μ ô OSO ロ=ロ X X O S Oarrow_forward. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the abovearrow_forwardIf, in a sample of n = 25 selected from a normal population, X= 60 and S= 10, what is your statistical decision if the level of significance, a, is 0.01, the nullI hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50? Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. -... Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.)arrow_forwardFor (15) – (23) identify the IV, DV, and the correct hypothesis test to run. Then conduct the hypothesis test based on the instructions given with each item. 15. A researcher for a cereal company wanted to demonstrate the health benefits of eating oatmeal. A sample of 9 volunteers was obtained and each participant at a fixed diet without any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each individual. Then participants began a second 30-day period in which they repeated exactly the same diet except they added 2 cups of oatmeal each day. After the second 30-day period, cholesterol levels were measured again and the researcher recorded the difference between the two scores for each participant. For this sample, cholesterol scores averated M = 16 points lower with the oatmeal diet with SS = 538 for the difference scores. a. Are the data sufficient to indicate a significant change in cholesterol level? Test %3D %3D with α.01. %3D b. Compute estimated…arrow_forwardPLEASE HELP ME SOLVE THIS ON THE TI-84. IM STUCK! Identify the null hypothesis, alternate hypothesis, test statistic, P-Value, conclusion about the null hypothesis, and final conclusion the addresses the original claim. A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the managers claim.arrow_forwardPlease answer D and Earrow_forwardQuestion 1. If an original claim for some aspect of a population is µ = 5.00, the test statistic is t = +1.80, and the critical values are CV = –1.69, +1.69, would you reject or fail to reject the null hypothesis? (Pick one and justify your answer.) Question 2. If an original claim for a population is µ = 5.00 and the data leads to the initial conclusion to fail to reject the null hypothesis, which of the following is a correct statement of the final conclusion? There is sufficient evidence to warrant rejection of the claim that the mean is 5.00 The sample data support the claim that the mean is 5.00. There is not sufficient evidence to warrant rejection of the claim that the mean is 5.00. There is not sufficient sample evidence to support the claim that the mean is 5.00.arrow_forwardIf P = 0.07, the result is statistically significant at the a= 0.01 level. The statement is (Choose one) Part 2 of 4 Part 3 of 4 X If P = 0.07, the null hypothesis is rejected at the a= 0.01 level. The statement is (Choose one) Part 4 of 4 X Ś If P = 0.07, the result is statistically significant at the α = 0.10 level. The statement is (Choose one) X 5 S If P = 0.07, the null hypothesis is rejected at the a= 0.10 level. The statement is (Choose one) 15arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY