Concept explainers
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 80% level of confidence.
a) With no prior research, what
n = ___ households
b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number.
n = ____ households
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
- A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls - Pboys.) Find the test statistic. (Round your answer to two decimal places.) Z = USE SALT Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We…arrow_forwardIdentify the statistical test that should be used to analyze the data for the following study: Does a GRE prep course improve GRE scores? GRE practice test scores were compared before and after 40 students had taken a very expensive GRE prep course.arrow_forwardI am being told that the sample size answer of 384 given to me was incorrect. Is there any way this was miscalculated?arrow_forward
- Results from the 2015 IPEDS Report indicate that about 1 out of 25 students at Mohawk Valley Community College identify themselves as being of Asian descent. Which of the following choices is the best estimate for the percentage of students at MVCC who identify themselves as of Asian descent? 0.4% 2.5% 0.04% 4% 25% 0.25%arrow_forwardYou wish to determine what percent of pre-kindergarten children ages 3 to 5 whose mother had a bachelor's degree or higher were enrolled in center-based early childhood care and education programs. How large of a sample is needed for an estimate with 90% confidence within 3% if you had no prior knowledge of the sample proportion?arrow_forwardA power analysis is a calculation used to estimate the smallest sample size needed for an experiment, given a required significance level, statistical power, and effect size. It helps to determine if a result from an experiment or survey is due to chance, or if it is genuine and significant. Think of an experiment or a survey that you have conducted or will conduct in your field of interest and use it to discuss the following questions: 1. Describe the importance of power analysis in an experiment. 2. How will you determine the appropriate significance level for a power analysis? 3. Explain, in your own words, how you will conduct a power analysis in your experiment or survey.arrow_forward
- Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: Do these data indicate that the population mean percentage difference in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance. (A) Are the data statistically significant at level α? Will you reject or fail to reject the null hypothesis? Since the interval containing the P-values has values that are larger than the level of significance, the data are not statistically significant and so we fail to reject the null hypothesis. (a)Since the interval containing the P-values has values that are larger than the level of significance, the data…arrow_forwardThe Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.arrow_forwardIn order to estimate the proportion of students at a small liberal arts college who watch reality TV for more than 4 hours per week, a random sample of students at the school is selected and each is interviewed about his or her reality TV viewing habits. The students conducting the survey are worried that people that watch reality TV might be embarrassed to admit it and that they may not respond to the survey with honest answers. What type of bias are the students conducting the survey worried about? Measurement or response bias They shouldn't worry--there is no obvious source of bias. Selection bias Nonresponse biasarrow_forward
- A news article that you read stated that 50% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 128 of the 284 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance?arrow_forwardA research poll included 1614randomly selected adults who were asked whether "global warming is a problem that requires immediate government action." Results showed that 972 of those surveyed indicated that immediate government action is required. A news reporter wants to determine whether these survey results constitute strong evidence that the majority (more than 50%) of people believe that immediate government action is required. Complete parts (a) through (c) below. a. What is the best estimate of the proportion of adults who believe that immediate government action is required? the best estimate is ?arrow_forwardYou may need to use the appropriate technology to answer this question. Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities. Swimming Tennis Cycling 403 420 390 375 490 255 430 445 300 405 415 407 422 525 263 Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.)arrow_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