Question

In: Statistics and Probability

15. As part of the Pew Internet and American Life Project, researchers surveyed a random sample...

15. As part of the Pew Internet and American Life Project, researchers surveyed a random sample of 800 teens and a separate random sample of 400 young adults. For the teens, 79% said that they own an iPod or MP3 player. For the young adults, this figure was 67%. Is there a significant difference between the population proportions? State appropriate hypotheses for a significance test to answer this question. Define any parameters you use.

17. Refer to Exercise 15.

a). Carry out a significance test at the α = 0.05 level.

b). Construct and interpret a 95% confidence interval for the difference between the population proportions. Explain how the confidence interval is consistent with the results of the test in part (a).

Solutions

Expert Solution


Related Solutions

The Pew Internet and American Life Project reported in 2004 that “17% of current music down...
The Pew Internet and American Life Project reported in 2004 that “17% of current music down loaders say they are using paid services”. Consider a random sample of 400 music down loaders. Compute the probability that X equals the mean of X where X is the number of current music down loaders (You can use appropriate program). Find the mean of X. Find the probability?
The Pew Internet and American Life Project reports that young people ages 12-17 send a mean...
The Pew Internet and American Life Project reports that young people ages 12-17 send a mean of 60 text messages per day. A random sample of 40 young people showed a sample mean of 69 texts per day. Assume σ = 28 for the population. Using a significance level of α = 0.05, test whether the population mean number of text messages per day is greater than 60. i. What is the null hypothesis? ii. What is the alternative hypothesis?...
A Pew Internet & American Life study found that teens and young adults consider their frequent...
A Pew Internet & American Life study found that teens and young adults consider their frequent e-communication as very different from the traditional writing they learn in school and generally don’t consider it “real writing.” Although they are tech-smart, students don’t always understand the boundaries of acceptable media use and need to learn that employers expect more formal, thoughtful, informative, and error-free messages on the job. How would you deal with this in the workplace?
A Pew Poll conducted in 2017 surveyed a random sample of 200 adult Americans and 75...
A Pew Poll conducted in 2017 surveyed a random sample of 200 adult Americans and 75 of them said that they had seen a ghost. Find a 99% confidence interval for the percentage of all Americans who believe they have seen a ghost. Interpret your interval. Round to three decimal places.
Researchers from the Pew Forum on Religion and Public Life interviewed two random samples of people....
Researchers from the Pew Forum on Religion and Public Life interviewed two random samples of people. Both samples had 1500 people. In 2002, 645 people expressed support for stem-cell research. In 2009, 725 expressed support. If group 1 is the 2002 sample and group 2 is the 2009 sample, run a hypothesis test at the 0.01 level of significance to determine if the proportion of people that support stem cell research has changed since 2002
A 2020 Pew Research survey asked a random sample of 4860 American adults if they have...
A 2020 Pew Research survey asked a random sample of 4860 American adults if they have ever used online dating (website or mobile app) and found that 30 percent of respondents had ever done so. Q1 Which math symbol(s) would represent the cited value 30 percent? mm nn x¯x¯ x¯1−x¯2x¯1−x¯2 σσ CC zz μdiffμdiff μμ tt p^p^ x¯diffx¯diff μ1−μ2μ1−μ2 Q2 (Please answer very clear and detail) Obtain a 95% confidence interval estimating the prevalence (rate) of online dating among American...
A poll conducted in 2013 surveyed a random sample of 2003 American adults, and 18% of...
A poll conducted in 2013 surveyed a random sample of 2003 American adults, and 18% of them said that they have seen a ghost. Construct a 95% confidence interval for the proportion of American adults who have seen a ghost.
A Pew poll surveyed 1802 Internet users and found that 875 of them had posted a...
A Pew poll surveyed 1802 Internet users and found that 875 of them had posted a photo or video online. Can you conclude that less than half (.5) of Internet users have posted photos or videos online? Use α = .05 level of significance. PLEASE SHOW ALL 4 STEPS OF THE HYPOTHESIS TEST.
Use the following to answer all of the questions. According to the Pew Internet and American...
Use the following to answer all of the questions. According to the Pew Internet and American Life Project 75% of American adults use the Internet. A survey of 600 adults aged 50-64 found 420 used the Internet (70%). We want to determine whether the proportion of Internet users age 50-64 differs from the overall proportion of 0.75. 1.What is the alternative hypothesis? 2. Compute the test statistic. Give answer to two decimal places. 3. Compute the p-value. Round answer to...
A professor surveyed a simple random sample of undergraduates at his large university. As part of...
A professor surveyed a simple random sample of undergraduates at his large university. As part of this survey he asked about part time jobs the students had and the amount the students were paid per hour. The resulting data is given in the file “pay_survey.txt” This data is linked from the Moodle. This data file contains the following variables. Gender: Male or Female Year: Year in school as Freshman, Sophomore, Junior or Senior Pay: hourly rate of pay in dollars...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT