Concept explainers
Religion important in your life? Americans ages 18 to 29 are considered to be less religious than older Americans. According to recent studies by the Pew Forum on Religion & Public Life, fewer young adults are affiliated with a specific religion than older people today. And, compared with their elders, fewer young people say that religion is very important in their lives. Yet, many young people still believe in traditional religious concepts and practices. Pew Research Center surveys show, for example, that “young adults’ beliefs about life after death and the existence of heaven, hell and miracles closely resemble the beliefs of older people today.” According to GSS (General Social Survey) results from a random sample of 1,679 subjects, 45% in the 18–29 age group pray daily whereas 55% pray less often.5 The MINITAB output shows the results for a significance test for which the alternative hypothesis is that the percentage of 18–29-year-olds who pray daily differs from 50%. State and interpret the five steps of a significance test in this context, using information shown in the output to provide the particular values for the hypothesis, test statistic, and P-value.
Test and CI for One Proportion
Test of p = 0.5 vs p ≠ 0.5
Using the normal approximation.
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
- Cyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying") Offensive name-calling Spreading of false rumors Receiving explicit images they didn't ask for Constant asking of where they are, what they're doing, who they're with, by someone other than a parent Physical threats Having explicit images of them shared without their consent a.) A total of 438 of the sampled teens were considered a target of cyberbullying. Find a 92% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.)margin of error: lower limit: upper limit:arrow_forwardCyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying") Offensive name-calling Spreading of false rumors Receiving explicit images they didn't ask for Constant asking of where they are, what they're doing, who they're with, by someone other than a parent Physical threats Having explicit images of them shared without their consent a.) A total of 446 of the sampled teens were considered a target of cyberbullying. Find a 94% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.)margin of error: lower limit: upper limit: b.) What…arrow_forwardDo you think the results of the study might be applicable to the whole population? Why or why not?arrow_forward
- Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure anxiety in a group of victims and a group of bystanders using a 26-item, 3-point anxiety scale. Assume scores on the anxiety scale are normally distributed and that the variances of the anxiety scores are the same among victims and bystanders. The group of 30 victims scored an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. The group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 9 on the same scale. You do not have any presupposed assumptions about whether victims or bystanders will be more anxious, so you…arrow_forwardA researcher determines that 8% of the males enrolled in Introductory Psychology have some form of color blindness, compared to only 2% of the females. Is there a significant relationship between color blindness and gender?arrow_forwardSuppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested in how much time workers spend per day on personal calls, emails, and social networking websites, as well as how much time they spend socializing with coworkers versus actually working. The most recent census provides data for the entire population of US workers on variables such as travel time to work, time spent at work, and break time at work. The census, however, does not include data on the variables you are interested in, so you obtain a random sample of 102 full-time workers in the United States and ask about personal calls, emails, and so forth. You are curious about how your sample compares with the census, so you also ask the workers the same questions about work that are asked in the census. Suppose the mean travel time to work from the most recent census is 24.1 minutes, with a standard deviation of 4.5 minutes. Your sample of 102 US workers…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning