Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 11.4, Problem 1AYU
To determine
To check: Whether there is a sufficient evidence to conclude that
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A manufacturer of hand-held calculators receives large shipments of printed circuits from a supplier. It is too costly and time-consuming to inspect all incoming circuits, so when each shipment arrives, a sample is selected for inspection. Information from the sample is then used to test
H0: p = 0.01
versus
Ha: p > 0.01,
where p is the actual proportion of defective circuits in the shipment.
If the null hypothesis is not rejected, the shipment is accepted, and the circuits are used in the production of calculators. If the null hypothesis is rejected, the entire shipment is returned to the supplier because of inferior quality. (A shipment is defined to be of inferior quality if it contains more than 1% defective circuits.)
In this context, define Type I and Type II errors. (Select all that apply.)
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What is the null hypothesis for scenario 2?
A) H0: µ(telehealth) = µ(in person) =µ(control)
B)Ho:μtelehealth=X¯in−person
C)H0: rxy = 0
D)H0:µTelehealth =µIn-Person
Test the null hypothesis H0 : β1 = β2 against the alternative H1 : β1 < β2 at 1% significance level.
Chapter 11 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - Prob. 8AYUCh. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...
Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - Prob. 14AYUCh. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - NW Prevnar The drug Prevnar is a vaccine meant to...Ch. 11.1 - Prevnar Part 2 In randomized, double-blind...Ch. 11.1 - Prob. 19AYUCh. 11.1 - Views on the Death Penalty The Pew Research Group...Ch. 11.1 - NW Tattoos The Harris Poll conducted a survey in...Ch. 11.1 - Body Mass Index The body mass index (BMI) of an...Ch. 11.1 - Public Cell Phone Conversations Researchers at...Ch. 11.1 - Prob. 24AYUCh. 11.1 - Side Effects In clinical trials of the allergy...Ch. 11.1 - Practical versus Statistical Significance In...Ch. 11.1 - Prob. 27AYUCh. 11.1 - Prob. 28AYUCh. 11.1 - Deficit Reduction In the Sullivan Statistics...Ch. 11.1 - Prob. 30AYUCh. 11.1 - Prob. 31AYUCh. 11.1 - Prob. 32AYUCh. 11.1 - Prob. 33AYUCh. 11.1 - Prob. 34AYUCh. 11.1 - Prob. 35AYUCh. 11.1 - Putting It Together: Salk Vaccine On April 12,...Ch. 11.1 - Why do we use a pooled estimate of the population...Ch. 11.1 - Explain the difference between an independent and...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - In Problems 3 and 4, assume that the differences...Ch. 11.2 - a. Determine di = Xi Yi for each pair of data. b....Ch. 11.2 - Naughty or Nice? An experiment was conducted in...Ch. 11.2 - Caffeine-Enhanced Workout? Since its removal from...Ch. 11.2 - NW Muzzle Velocity The following data represent...Ch. 11.2 - Reaction Time In an experiment conducted online at...Ch. 11.2 - Prob. 9AYUCh. 11.2 - Secchi Disk A Secchi disk is an 8-inch-diameter...Ch. 11.2 - Getting Taller? To test the belief that sons are...Ch. 11.2 - Prob. 12AYUCh. 11.2 - Prob. 13AYUCh. 11.2 - Car Rentals The following data represent the daily...Ch. 11.2 - DUI Simulator To illustrate the effects of driving...Ch. 11.2 - Prob. 16AYUCh. 11.2 - Prob. 17AYUCh. 11.2 - Putting It Together: Glide Testing You are a...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - Elapsed Time to Earn a Bachelors Degree A...Ch. 11.3 - Sugary Beverages It has been reported that...Ch. 11.3 - Prob. 9AYUCh. 11.3 - Walking in the Airport, Part II Do business...Ch. 11.3 - Priming Two Dutch researchers conducted a study in...Ch. 11.3 - Prob. 12AYUCh. 11.3 - NW Ramp Metering Ramp metering is a traffic...Ch. 11.3 - Prob. 14AYUCh. 11.3 - Bacteria in Hospital Carpeting Researchers wanted...Ch. 11.3 - Visual versus Textual Learners Researchers wanted...Ch. 11.3 - Prob. 17AYUCh. 11.3 - Prob. 18AYUCh. 11.3 - Prob. 19AYUCh. 11.3 - Prob. 20AYUCh. 11.3 - Prob. 21AYUCh. 11.3 - Prob. 22AYUCh. 11.3 - Putting It Together: Online Homework Professor...Ch. 11.3 - Prob. 24AYUCh. 11.3 - College Skills The Collegiate Learning Assessment...Ch. 11.3 - MythBusters In a MythBusters episode, the question...Ch. 11.3 - Prob. 27AYUCh. 11.4 - Prob. 1AYUCh. 11.4 - Prob. 2AYUCh. 11.4 - Prob. 3AYUCh. 11.4 - Prob. 4AYUCh. 11.4 - Prob. 5AYUCh. 11.4 - The following data represent the measure of a...Ch. 11.4 - Prob. 7AYUCh. 11.4 - TIMS Report and Kumon TIMS is an acronym for the...Ch. 11.4 - Age Difference in Married Couples What is the...Ch. 11.4 - Prob. 10AYUCh. 11.4 - Prob. 11AYUCh. 11.4 - Prob. 12AYUCh. 11.4 - Prob. 13AYUCh. 11.4 - Prob. 14AYUCh. 11.4 - Prob. 15AYUCh. 11.4 - Extramarital Affairs Is there a difference in the...Ch. 11.4 - Multitasking in School In todays wired society,...Ch. 11.4 - Prob. 18AYUCh. 11.4 - Hospital Readmission As of October 1, 2012,...Ch. 11.4 - Behavior and Gender at Work Researchers wanted to...Ch. 11.4 - Prob. 21AYUCh. 11.4 - Prob. 22AYUCh. 11.4 - Prob. 23AYUCh. 11.4 - Prob. 24AYUCh. 11.4 - Prob. 25AYUCh. 11.4 - Prob. 26AYUCh. 11.4 - Prob. 27AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11.4 - Prob. 29AYUCh. 11.4 - Prob. 30AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problem 3, assume that the paired differences...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - A random sample of n1 = 555 individuals results in...Ch. 11 - Height versus Arm Span A statistics student heard...Ch. 11 - McDonalds versus Wendys A student wanted to...Ch. 11 - Treatment for Osteoporosis Osteoporosis is a...Ch. 11 - Determining Sample Size A nutritionist wants to...Ch. 11 - Height versus Arm Span Construct and interpret a...Ch. 11 - Prob. 12RECh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - In a study conducted to determine the role that...Ch. 11 - Researchers had a car traveling 10 miles per hour...Ch. 11 - Zoloft is a drug used to treat...Ch. 11 - Does hypnotism result in a different success rate...Ch. 11 - A researcher wants to estimate the difference...Ch. 11 - It is commonplace to gain weight after quitting...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...
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- Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardMethod A: M1= 54, SS1= 400, n1= 15 Method B: M2=40, SS2= 440, n2=15 Using alpha=0.05 should the null hypothesis by rejected for the above data?arrow_forwardQuestion 16: Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5H1:p>0.5H1:p>0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5H1:p<0.5H1:p<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 56% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forward
- You complete a hypothesis test using alpha = .05 and based on the evidence from the sample, your decision is to fail to reject the null hypothesis. If the treatment actually does have an effect, which of the following is true?arrow_forwardIf the hypothesis test results in a p-value of 0.08, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.95, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.02, would we be able to reject the null hypothesis if we were using alpha=0.01?arrow_forwardThe probability of the data under the model of the alternative hypothesis (model 1) is 0.0008 and that of the model of the null hypothesis (model 0) is 0.400. What is the value of the Bayes Factor (BF01)?arrow_forward
- If we have a sample of size 100 with sample mean breaking strength of 1050 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength differs from 1000 pounds, what is the significance of our data? 2P(Z>1.25) 2P(Z<2.5) NONE OF THE OTHERS 2P(Z>2.5) P(Z<2.5)arrow_forwardWhat is the null and alternative hypothesis for the following problem? Thank youarrow_forwardAn airline company would like to know if the average number of passengers on a flight in November is less than the average number of passengers on a flight in December. The results of random sampling are printed below.What is the correct null and alternate hypothesis? A. H0:mu = 0Ha:mu > 0 B. H0:mu = 0Ha:mu not equal 0 C. H0:mu1 = mu2Ha:mu1 < mu2 D. H0:mu1 = mu2Ha:mu1 not equal mu2arrow_forward
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