Concept explainers
Several years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,015 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,015 surveyed, 467 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
a) What are the null and alternative hypotheses? please pick from the following symbols = ≠ ˃ ˂ (Round to two decimal places as needed.) see attached
b) Use technology to find the 99% confidence interval.
(____, ____) (Round to two decimal places as needed.)
c) What is the correct conclusion?
A. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
B. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
C. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
D. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 1 images
- What is the effect on a confidence interval if one decreases both sample size and the level of confidence?arrow_forwardSeveral years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,055 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,055 surveyed, 488 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p (Type integers or decimals rounded to two decimal places as needed.) versus H,:p Use technology to find the 90% confidence interval. We are 90% confident the proportion of parents who had children in grades K-12 that were satisfied with the quality of education the students receive is between and (Type integers or decimals rounded to two decimal places as needed.) What is the correct conclusion? O A. Since the interval does not contain the proportion stated…arrow_forwardhelp 1arrow_forward
- The Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally representative online poll of 2,015 adults aged 18 and over. They found that 3.3% of the respondents identified as vegetarian. a. Construct and interpret a 95% confidence interval for the proportion of vegetarians. b. Based on the interval what kind of evidence do you expect to have for the alternative two-sided hypothesis test? explain. I do not understand question barrow_forwardIn a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $36 and standard deviation of $15. Construct a confidence interval at a 90% confidence level.arrow_forwardSee attachmentarrow_forward
- Several years ago, 35% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,195 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,195 surveyed, 483 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p versus H,: p (Round to two decimal places as needed.)arrow_forwardThe National Association of Colleges and Employers sponsors the Graduating Student and Alumni Survey.Part of the survey gauges student optimism in landing a job after graduation. According to one year’s surveyresults, published in American Demographics, among the 1218 respondents, 733 said that they expecteddifficulty finding a job. Construct a 90% confidence interval for the proportion of students who expecteddifficulty finding a job. Interpret your result.arrow_forwardSeveral years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,135 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,135 surveyed, 474 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: P versus H₁: p (Round to two decimal places as needed.) (…)arrow_forward
- Several years ago, 42% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,175 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,175 surveyed, 473 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p versus H1: p (Round to two decimal places as needed.)arrow_forwardIn a study designed to determine whether there was a cluster of brain cancer cases at a Pratt & Whitney plant, record from 223,000 employees were studied and 723 employees with brain tumors were found. Treat those employees as a random sample and construct a 95% confidence interval estimate of the proportion of all adults who develop such tumors. write a brief statement interpreting that confidence interval.arrow_forwardA newspaper infographic titled "Social Media Jeopardizing Your Job?" summarized data from a survey of 1,850 recruiters and human resource professionals. The infographic indicated that 52% of the people surveyed had reconsidered a job candidate based on his or her social media profile. Assume that the sample is representative of the population of recruiters and human resource professionals in the United States. Would a 90% confidence interval be wider or narrower than the 95% confidence interval from part (a)? widernarrowerarrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman