Approximately 50% of all student loans guaranteed by the government are in default.A random sample of 350 loans to college students in one region of the U.S. indicatesthat 147 loans are in default.a) Do the data indicate that the proportion of student loans in default in this area ofthe country differs from the proportion of all student loans in the U.S. that are indefault? Use a = 0.01.(i) The conclusion for the above problem isDo not reject the null hypothesis and the proportion of student loans in defaultin this area of the country does not differ from the proportion of all studentloans in the U.S. that are in default.Do not reject the null hypothesis and the proportion of student loans in defaultin this area of the country differs from the proportion of all student loans in theU.S. that are in default.Reject the null hypothesis and the proportion of student loans in default in thisarea of the country differs from the proportion of all student loans in the U.S.that are in default.Reject the null hypothesis and the proportion of student loans in default in thisarea of the country does not differ from the proportion of all student loans inthe U.S. that are in default.

The hypotheses for the test are given below. Null hypothesis: H0: p = 0.50 Alternative hypothesis:…

Answered: Approximately 50% of all student loans…

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

4. "As the death rate from drug overdoses surged in the US over the last several years, the number of organ donors who died from overdoses increased from 1.10% of all deceased organ donors in 2000 to 9.34% in 2015, according to government data . The rate of deaths from drug overdoses has increased 137% since 2000, including a 200% increase in the rate of overdose deaths involving opioids" The Guardian May 1st, 2016 a) The percentage of organ donors who died from drug overdoses changed by 9.34% - 1.10% = 8.24% between 2000 and 2015. What is this as a percentage of donors dying from drug overdoses in 2000? b) True/False: Between 2000 and 2015 the rate of overdose deaths involving opioids doubled. *** a苓0 hp II
2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…
1. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year. (a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate p̂ will be within a distance of 0.11 from p? (Round your answer up to the nearest whole number.) small businesses(b) In a preliminary random sample of 30 small businesses, it was found that six had declared Chapter 11 bankruptcy. How many more small businesses should be included in the sample to be 95% sure that a point estimate p̂ will be within a distance of 0.110 from p? (Round your answer…
2. The drug Ritalin is designed to stimulate the central nervous system. In a random sample of 242 boys aged ten - twelve years old, it was found that 68 of the boys were taking Ritalin. It is known that the proportion of all boys aged 13 - 15 who take Ritalin is 22%. A researcher claims that the population proportions of boys who take Ritalin aged 10 – 12 is different than boys aged 13 - 15. Can you support this claim at the 5% significance level? a. Conduct a hypothesis test to test the claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p-value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
4. Along with interest rates, life expectancy is a component in pricing financial annuities. Suppose that you know that last year average life expectancy was 77 years for your annuity holders. Now you want to know if your clients this year have a longer life expectancy, on average, so you randomly sample n=20 of your recently deceased annuity holders to see actual age at death. Using a 5% level of significance, test whether or not the new data shows evidence of your annuity holders now live longer than 77 years, on average. The data below are the sample data (in years of life): (78,75,83,81,81,77,78,79,79,81,76,79,77,76,79,81,73,74,78,79) a) Does this sample indicate that life expectancy has increased? Test an appropriate hypothesis and state your conclusion (use a 5% level of significance). Be sure to check the necessary assumptions and conditions before conducting your test. b) Construct A 90% confidence interval for the true average age of death for the population of your annuity…
The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28 a) Using a calculator find Q1, Q3, median and IQR b) Determine the lower and upper fences. (Show work) c) Identify the outliers (if any) in this set
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 11 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=0.02α=0.02.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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
A random sample of 1026 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1026 adults surveyed, 533 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. A p= (Round to three decimal places as needed.)
1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed. 2. A researcher wishes to determine the proportion of college students who smoke marijuana. He determined that from a sample of 120 college students, 24 tested positive of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use a = 0.05. 3. A telecommunications analyst believes that more than 34% of Filipinos subscribed to any of the available postpaid plans. A random sample of 55 was chosen and the gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is there sufficient evidence to conclude that more than 34% of Filipinos are postpaid subscribers?
13) In a clinical study of an allergy drug, 115 of the 260 subjects reported experiencing significant relief from their symptoms. From the data, a 90% C.I. for the percentage of all subjects reported experiencing significant relief from their symptoms is (,blank ), blank (round to the 3rd decimal place).
3. What percentage of College students have made at least one online purchase in the last three months? To answer this question, a market researcher surveyed 200 college students. Of those surveyed, 76 said that they had made at least one online purchase (a.) What is the parameter of interest in this study? (b.) Calculate the corresponding point estimate of the population proport

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