A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. Aninvestigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try.Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05significance level that the DMV's claim is incorrect?For a one-sample z test for p. Random: We have an SRS of 125 teens. 10%: The sample size (125) is less than 10% ofall teens who take the driving test. Large Counts: npo = 125(0.60) = 75 ≥ 10 and n(1 - Po) = 125(0.40) = 50 ≥ 10.None of the steps are incorrect.The test statistic and P-value are z =0.688-0.600.60(0.40)125The conclusion states that because the P-value is smaller than a = 0.05, we reject Ho. There is convincing evidencethat the true proportion of teens who pass the driving test on their first attempt is different from 0.60.The hypotheses are: Ho: p = 0.60; Ha p 0.60, where p = the true proportion of teens who pass their driving teston the first attempt using a = 0.05.2.01, P-value 0.0222

Given that: Population proportion, p=0.60 Sample size, n=125 Number of successes, x=86

Answered: A state's Division of Motor Vehicles…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as “no-shows”. To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. c) Count the number of measurements that actually fall within the interval(x¯−2s, x¯+2s){ and express the interval count as a percentage of total number of measurements
Spam: A researcher reported that 71.8% of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be 78%. He examines a random sample of 500 emails received at an email server, and finds that 369 of the messages are spam. Can you conclude that less than 78% of emails are spam? Use both a = 0.10 and a = 0.01 levels of significance and the critical value method with the table. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: p = 0.78 H: p < 0.78 This hypothesis test is a left-tailed v test. Part: 1/5 Part 2 of 5 Find the critical values. Round the answers to three decimal places. For a = 0.10, the critical value is For a = 0.01, the critical value is
A ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 755 full-time and 415 part-time seasonal employees from 2009 showed that 419 full-time employees were rehired compared with 186 part-time employees. (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.02.) (a-1) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject the null hypothesis if zcalc > _____ or zcalc < ______. (a-2) Find the test statistic zcalc. (Round intermediate calculations to 4 decimal places. Round your answer to 3 decimal places.) zcalc_______ (b) Find the p-value. (Round your answer to 4 decimal places.) p-value ______
Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as “no-shows”. To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. a) Compute s, the sample s.d. for the data set
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer
A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
A bank wonders if omitting the annual fee for customers who charge at least $4000 per year would increase the amount of credit card usage (i. e. the total amount charged in a year). The bank makes this offer to a random sample of customers that have spent at least $4000. It then compares how much these customers charged this year with how much they charged last year. This data is found on sheet "CC Fees." Is there evidence at a 5% significance level to state that the mean amount increases when the "no-fee" offer was given?
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
According to the U.S. Department of Transportation’s Air Travel Consumer Report, the nation’s 12 largest airlines recorded an on-time arrival percentage of 77.4% in 2001. Of interest is to estimate the mean delay time for the 22.6% of all flights that did not arrive on time during 2013. A simple random sample of 28 late arriving flights was selected, and the mean delay time of this sample of 28 flights was 14.2 minutes, with a sample standard deviation of s= 6.4 minutes. Use this information to calculate and interpret a 98% confidence interval for the mean delay time for all flights that did not arrive on time during 2013.
Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Correctly identify the null and alternative hypotheses:

SEE MORE QUESTIONS

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS