In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, thatpractice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 138 houses built in SouthernCalifornia in the twentieth century and an independent, random sample of 84 new houses built in Southern California. The sample of twentieth century housescontained 47 houses with pools, and the sample of new houses contained 27 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion P, of all Southern California twentieth century houses that were builtwith pools is greater than the proportion p, of all new Southern California houses that were built with pools?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H1.H, :0H :0(b) Determine the type of test statistic to use.(Choose one)D=0OSOO20(c) Find the value of the test statistic. (Round to three or more decimal places.)O In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, thatpractice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 138 houses built in SouthernCalifornia in the twentieth century and an independent, random sample of 84 new houses built in Southern California. The sample of twentieth century housescontained 47 houses with pools, and the sample of new houses contained 27 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p, of all Southern California twentieth century houses that were builtwith pools is greater than the proportion p, of all new Southern California houses that were built with pools?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0H, :0믐(b) Determine the type of test statistic to use.Choose one)O=0OSO(c) Fttest statistic. (Round to three or more decimal places.)O

Solution: Given information: n1= 138n2= 84x1=…

Answered: In the twentieth century, it was a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Study 1: A study was conducted using a sample of 200 customers of a large department store. As each customer left the store, they were asked their age and how long they had spent in the store. Their ages were classified into three groups, under 25 years, 25 to 40 years and over 40 years. The study found that younger customers generally spend less time in the store. Study 2: Research suggests that people may be able to endure pain and discomfort better in the afternoon than in the morning. A dental researcher conducted a study by taking a random sample of 100 patients who had undergone similar treatment. Whether the patient received treatment in the morning or afternoon was recorded and then each patient was interviewed and a pain and discomfort tolerance score was assessed for them. Study 3: Biologists suspect that the decline in the numbers of Silver Sword plants on the Hawaiian islands is due to goats eating them. A study is to be conducted in a national park in Hawaii to test this…
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 14.3 31.8 24.5 14.3 7.5 27.7 16.2 20.1 y 24 70 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. Then visualize the line you think best fits the data. (b) Use a calculator to verify that Σx = 156.4, Σx2 = 3510.46, Σy = 241, Σy2 = 9501 and Σxy = 5542.6.Compute r. (Round to 3 decimal…
Section 11.2 Question #6 The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 700 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 422 257 Women who disagree 278 43 View the chi-square distribution table. Chi-square distribution table Dialog content starts Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605…
The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper. n = 49 x = 525 s = 65 Suppose that the researchers wanted to estimate the mean reaction time to within 5 msec with 95% confidence. Using the sample standard deviation from the study described as a preliminary estimate of the standard deviation of reaction times, compute the required sample size. (Round your answer up to the nearest whole number.) n =
To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures ballpoint pens selected samples of ,000 pens on each of 17 days. The company recorded, for each sample of 1,000, the number of defective pens in the sample. Here are their data. 1, 1, 2, 2, 2, 3, 3, 5, 5, 6, 7, 7, 10, 11, 13, 14, 18 Send data to calculator Send data to Excel Frequency 8. 6+ 2+ 2 4 12 16 20 Number of defective pens (out of 1000) O Mean (a) For these data, which measures of OMedian central tendency take more than one value? Mode Choose all that apply. None of these measures OMean (b) Suppose that the measurement 18 (the largest measurement in the data set) were OMedian replaced by 39. Which measures of central tendency would be affected by the change? OMode Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility 99+ O Type here to search 2. 4.
An analysis is performed on vacant land parcels in the city of Thunder Bay to find out whether or not they are randomly distributed. A sample area of 24 square kilometers was studied and divided into quadrats, with the following summary: 3 4 5 3 5 3 Calculate the following statistics: -the mean number of points per cell -the variance: s2 -the variance-to-mean ratio, VMR -the test statistic, x2*Identify the selection below that contains the correct values for these statistics in the same order they are listed. 5.333, 3.37, 2.414, 19.312 24, 9, 1.77, 11.8 3, 2.25, 0.75, 6.0 3.141, 9, 1.893, 15.144 3, 2.25, 1.3333, 10.66
A social scientist wanted to study the education levels of adults who live in the tristate area of southwestern Pennsylvania, the West Virginia panhandle, and southeastern Ohio. A random sample of 25 middle-aged adults from each region was selected and asked about their highest level of education. The responses are displayed in the table. The scientist would like to know if these data provide convincing evidence that the distribution of education differs for these regions in the population of all tristate residents. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all three conditions for inference are met.
The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light Flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper. n = 49 x = 530 S = 65 USE SALT (a) Construct a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. (Round your answers to three decimal places.) Interpret a 95% confidence interval for μ, the mean time to react to a red light while talking on a cell phone. We are 95% confident that the mean time to react to a red light while talking on a cell phone is between these two values. There is a 95% chance…
Suppose you are interested in investigating the association between retirement status and heart disease. One concern might be that an older person is more likely to be retired and also more likely to have heart disease. In one study, therefore, 127 victims of cardiac arrest were matched on a number of characteristics that included age with 127 healthy control subjects. This assures that members of each pair are the same age and differ on whether they have had a cardiac arrest. Retirement status was then ascertained for each subject. The table below contains the data for the paired subjects. Test whether there is an association between retirement status and cardiac arrest. Use a 5% level of significance. 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. Cardiac Arrest Healthy Retired Not…
In 2010, Dr. Bob decided to gather research on the type of disorders that present among his patients. His data collection resulted in the following breakdown of patients by disorder: 54.9% Schizophrenia; 21.1% Major Depression; 7.9% Obsessive-Compulsive Disorder; 4.5% Anxiety Disorder; 2.9% Personality Disorder; 8.8% Other. Information was collected from a random sample Of 300 patients in 2018 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the a = 0.10 level of significance, test the claim that the disorder breakdown of patients at Dr. Bob's hospital has not changed significantly since 2010. Which would be correct hypotheses for this test? Ho: P1 = P2; H₁: P₁ P2 © Ha: t1 = Uz; Hư:1# 02 ⒸHO: The breakdown of patients by disorder has changed significantly since 2010 (i.e. the given distribution no longer fits); H₁: The breakdwon of patients by disorder has not changed significantly since 2010 (i.e. the given distribution…
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.
Acid rain from the burning of fossil fuels has caused many of the lakes around the world to become acidic. The biology in these lakes often collapses because of the rapid and unfavorable changes in water chemistry. A lake is classified as nonacidic if it has a pH greater than 6. The following sample of pH levels obtained by the researchers for 15 lakes: 7.2, 7.3, 6.1, 6.9, 6.6, 7.3, 6.3, 5.5, 6.3, 6.5, 5.7, 6.9, 6.7, 7.9, 5.8. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, high mountain lakes in the Southern Alps are nonacidic? Set up the null and alternative hypothesis plus carry out the complete test using the critical value or P-value approach

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS