Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 10.2, Problem 10AYU
(a)
To determine
To test: The hypotheses
(b)
To determine
To test: The hypotheses
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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.
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
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...
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- 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.arrow_forward2) 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_forwardQ2arrow_forward
- Records 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_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#33). Both pictures are the same problem. Need help with the whole equation.arrow_forwardIf, in a sample of n=30 selected from a normal population, X=58 and S=12, what is your statistical decision if the level of significance, α, is 0.05, the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠50? Click here to view page 1 of the table of the critical values of t. LOADING... Click here to view page 2 of the table of the critical values of t. LOADING... Question content area bottom Part 1 Determine the critical value(s). The critical value(s) is(are) enter your response here.arrow_forwardI submitted the below answers that were provided the first time I asked this question and the system said my answer was incorrect and to try again. I don't know which answer was wrong. The original question is also attached. (a) The null hypothesis is �0:�≥0.65 and the alternative hypothesis is �1:�<0.65. (b) The z type of test statistic is to be u. sed. (c) The value of the test statistic is 2.7139. (d) The critical value is -1.28155. (e) Yes, there is sufficient evidence to support the claim that the proportion of people who find relief from depression using the new version of the drug is lower than 65%.arrow_forward(Q4). You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (a) What type of hypothesis test will you use? (b) What are H0 and Ha? Write them both mathematically and in words. (c) You run the analysis and the p-value is 0.0001 and α = 0.001, and β = 0.9. If you reject H0, what is the probability that you made the wrong decision in this case? (d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case? (e) Under what conditions could an expert witness give the following statement based solely on lead bullet…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_forwardA. Compute the test statistic given the information below. H0: μ = 28 Ha: μ ≠ 28 = 25 n = 68 s = 2.5 90% level, so α = 10% and α/2 = 5% = 0.05 B. How would we evaluate the null hypothesis of problem A? Circle the correct answer below. REJECT FAIL TO REJECT NOT ENOUGH INFOarrow_forwardA researcher conducts a two-sample t-test in order to test the following hypotheses: H0 :µa = µB vs. H1: µA > µB. She finds that the p-value is .075. Her colleague wishes to conduct the same hypothesis test, but will change his alternative hypothesis to µA=/=µB and will use α = .10. What can be said about the results of his test? (a) He will fail to reject the null hypothesis. (b) He will reject the null hypothesis. (c) Whether he rejects the null hypothesis depends on the brand of statistical software he uses. (d) There is not enough information provided to determine the results of his test.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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