$$Although Americans have a large amount of home equity, real estate wealth is becoming increasinglyconcentrated as overall homeownership rates fall. In 2004, 69% of all Americans owned homes. In 2019,that number was down to 64.8%. A city manager believes that 70% of the population in their town own thehouse they reside in and a researcher was hired to survey the population. In a simple random sample of 213occupied housing units, there were 157 that are owner-occupied. Use a 5% significance level to test theclaim that the percentage of the population that own a house is the same as 70%.Procedure: Select an answerAssumptions: (select everything that applies)Population standard deviation is unknown☐ Normal populationO Simple random samplePopulation standard deviation is knownThe number of positive and negative responses are both greater than 10Sample size is greater than 30

The first step in hypothesis testing is to set up the null hypothesis and the alternative…

Answered: $ $ Although Americans have a large…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 1.6%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to >. Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
11. A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Because not all questionnaires were returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the two-way table. Response? Yes No Total Small 125 75 200 Business size Medium 81 119 200 Large 40 160 200 (a) Which variable should be used as the explanatory variable? Explain. Total 246 354 600 (b) Construct a segmented bar chart to summarize the relationship between business size and whether or not the business replied to the survey. (c) Use your graph from part (b) to determine if there is an association between the size of business and whether or not the business replied to the survey.
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 78 stocks traded on the NYSE that day showed that 21 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.001.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
A common belief among doctors, nurses and other medical professionals is that lunar cycle influences human behavior, such as the quality of sleep. In a recent study, a scientist was interested in investigating whether there is a significant difference in the number of sleeping hours in different moon phases: waxing crescent, full moon, and waning crescent. Participants’ number hour of sleep were recorded in the table below. Quality of sleeps (in number of hours) Waxing Crescent Full Moon Waning Crescent 7 8 9 7 8 4 5 4 3 6 5 7 8 9 6 What is being measured? That is, what is the DV? What is the level of measurement of the DV? With α = .05, determine whether there are any significant mean differences among your groups.
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 29 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.02. What is the test statistic for this sample? (Report answer accurate to three decimal places.) What is the p-value for this sample? (Report answer accurate to four decimal places.)
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 61 stocks traded on the NYSE that day showed that 22 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.05α=0.05.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
A common belief among doctors, nurses and other medical professionals is that lunar cycle influences human behavior, such as the quality of sleep. In a recent study, a scientist was interested in investigating whether there is a significant difference in the number of sleeping hours in different moon phases: waxing crescent, full moon, and waning crescent. Participants’ number hour of sleep were recorded in the table below. Quality of sleeps (in number of hours) Waxing Crescent Full Moon Waning Crescent 7 8 9 7 8 4 5 4 3 6 5 7 8 9 6 What are the groups being compared? That is, what are the levels of the IV? What is the IV? What is the level of measurement of the IV?
3. Twittering away The Pew Internet and American Life Project asked a random sample of 2253 U.S. adults, "Do you ever ... use Twitter or another service to share updates about yourself or to see updates about others?" In the sample, 19% said “Yes." The dotplot shows the proportion who would say "Yes" to this question in each of 1000 random samples of size 2253 from a population where 19% would say "Yes."18 |||| 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 Simulated sample proportion who would say "Yes" Distribution of simulated proportion # samples 1000 mean 0.19 SD 0.009 (a) Use the results of the simulation to approximate the margin of error for the estimate of the proportion of U.S. adults who would say "Yes" to this question. (b) Interpret the margin of error.
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 21% with a margin of error of 1.6%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≤. In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to >. Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of a 0.002. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
Two psychologists surveyed 562 children in grades 4, 5 and 6 in elementary schools in Michigan. They stratified their sample drawing roughly 1/3 from rural, 1/3 from suburban and 1/3 from urban schools. Among other questions they asked students whether their primary goal was to get good grades, to be popular, or to be good at sports. One question of interest was whether boys and girls at this age had similar goals. Grades Popular Sports TotalBoy 120 67 87 274Girl 151 121 33 305Total 271 188 120 579 Round answers to two places after the decimal: Of the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls?
Foxbees magazine published data on the best small firms in 2012. These publicly traded firms have a stock price of at least $5 per share and have reported annual revenue between $5 million and $1 billion. The data below shows the ages of the corporate CEOS for a random sample of these firms. 50 73 74 56 71 49 55 45 36 39 51 61 72 54 63 44 63 64 55 66 42 69 74 58 42 40 48 50 47 70 62 74 72 54 57 62 65 37 41 46 55 67 58 74 58 63 57 62 51 40 R vector Copy to clipboard a What is the mean of the sample? HRound to 4 decimat ptaces bWhat is the standard deviation ef the sample mean or the standard error? decimat places) (Round to 4 What is the sample size? (Round to whole numbert 7 d) What is the t critical value for a 99% confidence interval? (Round to 4 decimal places). e) What is the error bound or margin of error? (Round to 4 decimal places) f) What are the Lower and Upper limits for a 99% confidence interval? [ (Round to 4 decimal places)

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