STATISTICAL TECH IN BUSN CONNECT <LCPO>
18th Edition
ISBN: 9781266505942
Author: Lind
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 16, Problem 5E
a.
To determine
State the null and alternative hypotheses.
b.
To determine
Provide the decision rule.
c.
To determine
Interpret the results using the necessary computations.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
STATE THE NULL AND ALTERNATIVE HYPOTHESES OF THE FOLLOWING.
NEWBORN BABIES ARE MORE LIKELY TO BE BOYS THAN GIRLS. A RANDOM SAMPLE FOUND 12,193 BOYS WERE BORN AMONG 26,468 NEWBORN CHILDREN. THE SAMPLE PROPORTION OF BOYS WAS 0.4607. IS THIS SAMPLE EVIDENCE THAT THE BIRTH OF BOYS IS LESS COMMON THAN THE BIRTH OF GIRLS IN THE ENTIRE POPULATION?
The owner of a health club franchise believes that the average age of the club's members is under 50years. To test this, a random sample of 30 members was selected. The accompanying sample data are the ages of the sampled individuals.
Data Table
32 48 75 27 54 33
44 65 50 64 34 2357 54 43 37 73 7518 32 66 42 45 5127 57 74 23 38 43
a. State the appropriate null and alternative hypotheses.
b. Use the test statistic approach to test the null hypothesis with
α=0.05.
____________________________________________________________
a. State the appropriate null and alternative hypotheses. Choose the correct answer below.
A. H0: μ≤50
HA:μ>50
B. H0:μ≠50
HA :μ=50
C. H0: μ=50
HA: μ≠50
D. H0: μ≥50
HA: μ<50
E. H0: μ<50
HA: μ≥50
F. H0: μ>50
HA: μ≤ 50
b. Determine the critical value(s) for α=0.05.
_____ = ____ (Round to two decimal places as needed. Use a comma to seperate…
. A tire manufacturer claims that the mean life of a certain type of tire is more than 30,000 miles.a. State the claim mathematically.
b. State the null and alternative hypothesis.
c. Determine when a type I or type II error occurs for a hypothesis test of the claim.
d. Determine whether the hypothesis test is a left-tailed test, a right-tailed test, or a two-tailed test. Explain your reasoning.
e. How should you interpret a decision that we reject the null hypothesis?
f. How should you interpret a decision that we do not reject the null hypothesis
Chapter 16 Solutions
STATISTICAL TECH IN BUSN CONNECT <LCPO>
Ch. 16 - Prob. 1SRCh. 16 - Prob. 1ECh. 16 - Prob. 2ECh. 16 - Calorie Watchers has low-calorie breakfasts,...Ch. 16 - Prob. 4ECh. 16 - Prob. 2SRCh. 16 - Prob. 5ECh. 16 - Prob. 6ECh. 16 - Prob. 3SRCh. 16 - Prob. 7E
Ch. 16 - Prob. 8ECh. 16 - Prob. 9ECh. 16 - Prob. 10ECh. 16 - Prob. 4SRCh. 16 - Prob. 11ECh. 16 - Prob. 12ECh. 16 - Prob. 13ECh. 16 - Prob. 14ECh. 16 - Prob. 5SRCh. 16 - Prob. 15ECh. 16 - Prob. 16ECh. 16 - Prob. 17ECh. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - Prob. 20ECh. 16 - Prob. 6SRCh. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - Prob. 23ECh. 16 - Prob. 24ECh. 16 - Prob. 25CECh. 16 - Prob. 26CECh. 16 - Prob. 27CECh. 16 - Prob. 28CECh. 16 - Prob. 29CECh. 16 - Prob. 30CECh. 16 - Prob. 31CECh. 16 - Prob. 32CECh. 16 - Prob. 33CECh. 16 - Prob. 34CECh. 16 - Prob. 35CECh. 16 - Professor Bert Forman believes the students who...Ch. 16 - Prob. 37DACh. 16 - Prob. 38DACh. 16 - Prob. 39DACh. 16 - Prob. 1PCh. 16 - The manufacturer of childrens raincoats wants to...Ch. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 1CCh. 16 - B. Thomas Testing Labs John Thomas, the owner of...Ch. 16 - Prob. 1.1PTCh. 16 - Prob. 1.2PTCh. 16 - Prob. 1.3PTCh. 16 - Prob. 1.4PTCh. 16 - Prob. 1.5PTCh. 16 - Prob. 1.6PTCh. 16 - Prob. 1.7PTCh. 16 - Prob. 1.8PTCh. 16 - Prob. 1.9PTCh. 16 - Prob. 1.10PTCh. 16 - Prob. 2.1PTCh. 16 - Prob. 2.2PTCh. 16 - Prob. 2.3PTCh. 16 - Prob. 2.4PT
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
- a. Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down 50% of the time. b. Identify the test statistic. c. Identify the P-value. d. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. e. Write a conclusion that addresses the test that the toast will land with the buttered side down more than 50% of the time.arrow_forwardIn 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. C "1.M1 M2 Find the test statistic for this hypothesis test. 0.96 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)arrow_forwardThe national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. OHO: H= 1500; HA: µ = 1500 Ho: H Duke National; HA: H Duke National Ho: x= 1500; HA: x > 1500 OHO: H = 1500; HA: > 1500 O Ho: P = 1500; HA: P > 1500arrow_forward
- a. Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. b. Identify the test statistic. c. Identify the P-value. d. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.arrow_forwardDuring the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 800 homes taken recently yielded the following viewing audience data. Number of Homes ABC 305 CBS 255 NBC 240 We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks. a. State the null and alternative hypotheses to be tested. b. Compute the expected frequencies. c. Compute the test statistic. d. Determine the p-value for this test. Make a conclusion in the context of this problemarrow_forward1. At many golf clubs, a teaching professional provides a free 10-minute lesson to new customers. A golf magazine reports that golf facilities that provide these free lessons gain, on average, $2,000 in green fees, lessons, or equipment expenditures. A teaching professional believes that the average gain is DIFFER- ENT FROM $2,000. (a) In order to support the claim made by the teaching professional, what null and alternative hypotheses should you test (for each, fill in the blanks with the proper population parameter, proper symbol con- cerning equality or inequality, and proper #, respectively)? Ho: Ha: (b) Suppose you select a = 0.05. What is the probability that the null hypothesis is rejected when the average gain is $2,000? (c) For a = 0.05, specify the rejection region of a large-sample test (make a sketch of the rejection region as well). Use the Rejection Region method for Parts (d), (e), and (f) below. (d) Suppose a large sample was taken which yielded a test statistic 24 =…arrow_forward
- The researcher aims to reject the null hypothesis (Ho) and accept the alternate (H1). In analogy, the court prosecutor's goal is to deliver a guilty verdict (reject Ho). Also, a sample is representative of the population when data is randomly collected. Therefore, the purpose of rejecting Ho is to make a statement about the population based on testing the sample. A. Scenario. An industrial seller of grass seeds packs product in 50 lb. bags, and 100 bags per batch. The production manager randomly samples each batch at a 95% confidence level and 10% margin of error. They measured the following weights in the Week 4 Discussion Data (below). To determine if the bags are filled properly, the manager used a one-sample t-test of means with a significance level α = 0.05. The population standard deviation (σ) is unknown; therefore, using a two-tail t-test will show whether the bags are under or overweight. Use the hypothesis testing steps illustrated in Example One-Sample t-Test of Means.…arrow_forwardTV Viewing. The A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ. a. identify the variable. b. identify the two populations. c. identify the pairs. d. identify the paired-difference variable. e. determine the null and alternative hypotheses. f. classify the hypothesis test as two tailed, left tailed, or right tailed.arrow_forwardAn airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption.arrow_forward
- Do the following for the case below. a. State the null and alternative hypotheses for a hypothesis test. b. Describe the two possible outcomes of the test, using the context of the given situation. The governor claims that the percentage of adults over 24 who have graduated from high school is greater than 75%, the national average. What is the null hypothesis? A. The percentage of adults over 24 who have graduated from high school is 75%. B. The percentage of adults over 24 who have graduated from high school is greater than 75%. C. The national average for the percentage of adults over 24 who have graduated from high school is 75%.arrow_forwardWhat are the null and alternative hypotheses? A.H0: The racial distribution is the same in at least two of the four regions. Ha: The racial distribution is not the same in at least two of the four regions. B. H0: The racial distribution is the same in each of the four regions. Ha: The racial distribution is not the same in each of the four regions. C. H0:The racial distribution is not the same in each of the four regions. Ha:The racial distribution is the same in each of the four regions. D. H0: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Choose the correct conclusion below. A. Do not reject H0. The data do not provide sufficient evidence that there is a difference. B. Do not reject…arrow_forward1) The percentage of complete passes is an important measure for a quarterback in the NFL. A particular quarterback has a career completion percentage of 55%. The quarterback got a new coach and then played a few games where he completed 48 of 100 passes. a. Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach. b. Calculate the value of the test statistic and the p-value. c. At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Type I and II Errors, Power, Effect Size, Significance and Power Analysis in Quantitative Research; Author: NurseKillam;https://www.youtube.com/watch?v=OWn3Ko1WYTA;License: Standard YouTube License, CC-BY