Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 10.3, Problem 36E
To determine
Check whether there is sufficient evidence to conclude that a majority of Country U adults would not be bothered if the National Security Agency collected records of personal telephone calls.
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The College of Graduate Studies at MNSU claims that more than 60% of
undergraduate students at this university will go to graduate school. You take a
survey 500 undergraduate students and 310 say they will go to graduate school.
Conduct a hypothesis test with a 1% significance level. Is the College of Graduate
Studies claim accurate? Assume the population data is normal.
In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately. A total of 2765 employers responded to the survey, with 964 saying that they had sent an employee home for inappropriate attire. In a press release, the website makes the claim that more than one-third of employers have sent an employee home to change clothes.
Do the sample data provide convincing evidence in support of this claim? Test the relevant hypotheses using
? = 0.05.
For purposes of this exercise, assume that it is reasonable to regard the sample as representative of employers in the United States. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z
=
P-value
=
State your conclusion.
Reject H0. We do not have convincing evidence that more than one-third of employers have sent an employee home to change clothes
.Do not reject H0. We do not have convincing evidence that more than…
USA Today ran a report about a UNC poll of 1248 adults from the southern U.S. It was reported that 8% of those surveyed believe that Elvis Presley still lives. The article began with the claim that "almost 1 out of 10" Southerners still thinks Elvis is alive. At the 0.01 significance level, test the claim that the true percentage is 10%.
Chapter 10 Solutions
Introduction to Statistics and Data Analysis
Ch. 10.1 - Explain why the statement x=50 is not a legitimate...Ch. 10.1 - For the following pairs, indicate which do not...Ch. 10.1 - To determine whether the pipe welds in a nuclear...Ch. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - A researcher speculates that because of...Ch. 10.1 - A county commissioner must vote on a resolution...Ch. 10.1 - A cruise ship charges passengers 3 for a can of...
Ch. 10.1 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Medical personnel are required to report suspected...Ch. 10.2 - Prob. 15ECh. 10.2 - A television manufacturer claims that (at least)...Ch. 10.2 - A manufacturer of hand-held calculators receives...Ch. 10.2 - Water specimens are taken from water used for...Ch. 10.2 - Suppose that for a particular hypothesis test, the...Ch. 10.2 - Suppose that you arc an inspector for the Fish and...Ch. 10.2 - Prob. 21ECh. 10.2 - An automobile manufacturer is considering using...Ch. 10.3 - Use the definition of the P-value to explain the...Ch. 10.3 - For which of the following P-values will the null...Ch. 10.3 - Prob. 25ECh. 10.3 - Let p denote the proportion of students at a...Ch. 10.3 - Assuming a random sample from a large population,...Ch. 10.3 - Prob. 28ECh. 10.3 - In a survey of 1000 women age 22 to 35 who work...Ch. 10.3 - The paper Debt Literacy, Financial Experiences and...Ch. 10.3 - "Most Like it Hot" is the title of a press release...Ch. 10.3 - In a survey of 1005 adult Americans, 46% indicated...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - The article Cops Get Screened for Digital Dirt...Ch. 10.3 - Refer back to the previous exercise. The actual...Ch. 10.3 - The report 2007 Electronic Monitoring ...Ch. 10.3 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Give as much information as you can about the...Ch. 10.4 - Paint used to paint lines on roads must reflect...Ch. 10.4 - A certain pen has been designed so that actual...Ch. 10.4 - Prob. 46ECh. 10.4 - The paper Playing Active Video Games Increases...Ch. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Medical research has shown that repeated wrist...Ch. 10.4 - Prob. 53ECh. 10.4 - A comprehensive study conducted by the National...Ch. 10.4 - Prob. 55ECh. 10.4 - The paper titled Music for Pain Relief (The...Ch. 10.4 - Many consumers pay careful attention to stated...Ch. 10.4 - Much concern has been expressed regarding the...Ch. 10.5 - The power of a test is influenced by the sample...Ch. 10.5 - Prob. 60ECh. 10.5 - Let denote the mean lifetime (in hours) for a...Ch. 10.5 - The city council in a large city has become...Ch. 10.5 - The amount of shaft wear after a fixed mileage was...Ch. 10.5 - Optical fibers are used in telecommunications to...Ch. 10.5 - Prob. 65ECh. 10.6 - In 2006, Boston Scientific sought approval for a...Ch. 10.6 - The article Boy or Girl: Which Gender Baby Would...Ch. 10 - Prob. 68CRCh. 10 - In a national survey of 2013 adults, 1590...Ch. 10 - Students at the Akademia Podlaka conducted an...Ch. 10 - Prob. 71CRCh. 10 - Prob. 72CRCh. 10 - A number of initiatives on the topic of legalized...Ch. 10 - Prob. 74CRCh. 10 - Prob. 75CRCh. 10 - Prob. 76CRCh. 10 - Prob. 77CRCh. 10 - Duck hunting in populated areas faces opposition...Ch. 10 - Past experience has indicated that the response...Ch. 10 - An automobile manufacturer who wishes to advertise...Ch. 10 - A student organization uses the proceeds from a...Ch. 10 - A hot tub manufacturer advertises that with its...Ch. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - The article Should Canada Allow Direct-to-Consumer...Ch. 10 - Prob. 7CRECh. 10 - It probably wouldnt surprise you to know that...Ch. 10 - The article Doctors Cite Burnout in Mistakes (San...Ch. 10 - The National Geographic Society conducted a study...Ch. 10 - Heinz Plays Catch-up After Under-Filling Ketchup...Ch. 10 - In a survey conducted by Yahoo Small Business,...Ch. 10 - In an AP-AOL sports poll (Associated Press,...Ch. 10 - Prob. 14CRECh. 10 - A survey of teenagers and parents in Canada...Ch. 10 - The same survey referenced in the previous...
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- List the sample space of each experiment. Picking a one-digit numberarrow_forwardIn a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately. A total of 2762 employers responded to the survey, with 974 saying that they had sent an employee home for inappropriate attire. In a press release, the website makes the claim that more than one-third of employers have sent an employee home to change clothes.Do the sample data provide convincing evidence in support of this claim? Test the relevant hypotheses using ? = 0.05. For purposes of this exercise, assume that it is reasonable to regard the sample as representative of employers in the United States. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value =arrow_forwardIn a poll conducted by The New York Times and CBS News, 44% of Americans approve of the job that the Supreme Court is doing (The New York Times, June 8, 2012). Assume that this percentage was true for the population of Americans at the time of this poll was conducted. A recent poll of 1339 Americans showed that 38% of them approve of the job that the Supreme Court is doing. At a 10% significance level, can you conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is different from 44%?arrow_forward
- USA Today (Feb. 17, 2011) described a survey of 1,008 American adults. One question on the survey asked people if they had ever sent a love letter using e-mail. Suppose that this survey used a random sample of adults and 205 stated that they had written a love letter using e-mail. Is this evidence that more than 20% of American adults have written a love letter using e-mail? Use a level of significance of 5%. a) p: (3 decimal places) b) Complete the following areas. Label the critical value and test statistic on the curve and shade the rejection region(s). Họ: Hi: Type of Test: Test Statistic: (2 decimal places) Critical Value(s): (2 decimal places) P-Value: (4 decimal places) Reject or Fail to Reject:arrow_forwardIn May 2006, the Gallup Poll (www.galluppoll.com) asked 510 randomly sampled adults the question "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?" Of these, 60% answered "Fairly," 35% said "Unfairly," and 4% said they didn't know. First, please answer this question: From this survey, what can we conclude about the opinions of all adults? (To answer this question, please build a 95% confident interval for the proportion of all U.S. adults who believe the death penalty is applied fairly.) Please use all steps: Check requirements. Find the critical z-value. Find the margin of error. Find the confidence interval. Interpret the result (conclusion). Then, please answer the following questions (same source): Think some more about the 95% confidence interval for the proportion of US adults who think the death penalty is applied fairly. 1. If we wanted to be 98% confident, would our confidence interval need to be narrower or wider? 2.…arrow_forwardIn a poll conducted by The New York Times and CBS News, 44% of Americans approve of the job that the Supreme Court is doing (The New York Times, June 8, 2012). Assume that this percentage was true for the population of Americans at the time of this poll was conducted. A recent poll of 1303 Americans showed that 35% of them approve of the job that the Supreme Court is doing. At a 10% significance level, can you conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is different from 44%? Round your answers to two decimal places. Zobserved = i Zaritical left Zeritical right We the null hypothesis. We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is v 44%. different from dia not different fromarrow_forward
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