M Inbox (11,737) - bnr3@ge x Assignments: 202201-SO( X 4 HW 5 - Estimation and Hy X G SOCL 211 - Homework As X Homework Help - Q&A fr X + X C drive.google.com/file/d/19DmikflzkJnZ_B24-HQgzt3MDB38Pb0/view New Apps CIT Service Desk - S... G myGeneseo Campu.. Jamf Pro Paraphrasing Tool |... HelpDesk CIT Geneseo Status... S Study Guide - TEST. Problem set #1: Comprehension (25 questions x 2% each = 50%) 1. Match the word on the left with the correct definition on the right: Estimation A) A sample statistic used to estimate the value of a population parameter. B) The likelihood that a specified interval will contain a given parameter. Point Estimate C) A range of values defined by a confidence level within which the population parameter is estimated to fall. Interval Estimate D) The process whereby we select a random sample from a population to make Confidence Level an inference about an unknown parameter. E) A statement of "no difference" or "no effect" that is expressed in terms of Null hypothesis population parameters. F) A statement reflecting the substantive hypothesis, expressed in terms of Two-tailed test population parameters, sometimes called the "alternative" hypothesis. Alpha G) A type of hypothesis test that involves a non-directional research hypothesis. H) The decided upon level of probability at which the null hypothesis is rejected. Statistically significant 1) A phrase meaning the results are unlikely to have occurred by random chance or sampling error; when the probability of having obtained a test statistic is less Research hypothesis than the level of alpha. PDF HW 5 - Estimation...pdf Show all X O O W S 65OF Clear G 9:46 PM O X 5/10/2022M Inbox (11,737) - bnr3@ge x Assignments: 202201-SO( X 4 HW 5 - Estimation and Hy X G SOCL 211 - Homework As X *Homework Help - Q&A fr X + X C drive.google.com/file/d/109DmiKfizkJnZ_B24-HQgzt3MDB38Pb0/view New O Apps CIT Service Desk - S... G myGeneseo Campu... Jamf Pro Paraphrasing Tool |... HelpDesk CIT Geneseo Status... S Study Guide - TEST.. Alpha G) A type of hypothesis test that involves a non-directional research hypothesis. H) The decided upon level of probability at which the null hypothesis is rejected. Statistically significant 1) A phrase meaning the results are unlikely to have occurred by random chance or sampling error; when the probability of having obtained a test statistic is less Research hypothesis than the level of alpha. 2. Indicate whether each situation describes a statistic or a parameter. a) The percentage of New York residents opposed to abortion, estimated from a poll of 1,000 residents. b) The median age of Americans obtained from the 2020 census. c) The unemployment rate for the population of US adults, estimated from a sample of workers from each state. d) The average salary of Geneseo employees based on a random sample of employees at Geneseo. SOCL 211 Spring 2022 PDF HW 5 - Estimation...pdf Show all X O O W S 65OF Clear G 9:46 PM O X 5/10/2022M Inbox (11,737) - bnr3@ge x Assignments: 202201-SO( X 4 HW 5 - Estimation and Hy X G SOCL 211 - Homework As X *Homework Help - Q&A fr X + X C drive.google.com/file/d/19DmikflzkJnZ_B24-HQgzt3MDB38Pb0/view New O Apps CIT Service Desk - S... G myGeneseo Campu... Jamf Pro Paraphrasing Tool |... HelpDesk CIT Geneseo Status... S Study Guide - TEST.. 3. For each of the following hypotheses, state whether a one- or a two-tail test is appropriate, and if it is a one-tail test, state whether it is a right-tail or left-tail test. a) Geneseo students attend a fewer parties per month than Brockport students. b) The median income (adjusted for inflation) of white collar workers in the U.S. is higher today compared to 1980. c) The average number of hours that American adults watch TV per day is different in 2016 compared to 2006. 4. Fill in the blanks to complete the following statements: Holding other factors constant... a) ..if the sample size increase, the confidence interval becomes precise. o) ..if the sample size decreases, the confidence interval becomes precise. c) ...if the level of confidence is higher, the confidence interval becomes precise. d) ...if the level of confidence is lower, the confidence interval becomes precise. e) ..if the sample standard deviation is larger, the confidence interval is precise. f) ..if the sample standard deviation is smaller, the confidence inte val is precise. Page 2 + PDF HW 5 - Estimation...pdf Show all X O O W S 9:46 PM 65OF Clear G O X 5/10/2022' lobe); (11,737) - bnr Assignments: 202201- - ' HW 5 - Estlmatlon and t G S 211 - Homework X it Homework Help 415% X + C drIve.goog|e.com " Apps CIT Sen/ice Desk 7 S... G myGeneseo Campu .. lamf Pro \"\\'a Parapl'lraslng Tool |. . HelpDesk '3' CIT Geneseo Status. . Study Guide 7 TEST... 5. For each of the following statements. slate whether or not It is a correct Inference, and if it is an incorrect inference. Identify the type of error made (Type I or Type II error). Him: refer to p. 14 of Course Pack #12 a) Your null hypothesis is that the average lrrcome in the U.S. is equal to $65,000 per capital. The actual population mean income is 367.500. Based on analysis of a random sample from the U.S.. you reject the null hypothesis. Your null hypothesis is that people's religious afliation is independent of their support for samesex maniage. In the population, there is an associatlon between people's religious afliation and their support for samersex marriage. Based on analysis 01a random sample 01 people in the US. you fail to reject the null hypothesis. Your null hypothesis is that the median household income in the U.S. is equal to 559.240. The actual population median household income in the U.S. is 359.240 per household. Based on analysis of a random sample of households in the U.S.. you reject the null hypothesis. SOCL 211 Spring 2022 E HW S , Estimation....pdf F' M 5,11 0,2022 51 ' inbox (11,737) - bnr Assignrrients: 202201- - ' HW 5 - Estimation and i G S 211 - Homework X it Homework Heip - (15m. X + C drive.goog|e.com n: Apps CIT Sen/ice Desk , S... G myGeneseo Campu .. Jamf Pro \"\\'i Paraphrasing Tooi |. . HeipDesk '3' CIT Geneseo Status. . Study Guide , TEST... Problem set #2: Estimation (8 questions x 2% each = 16%) 6. The Livingston County police department hired you to estimate the cost of crime, beginning with a study of insurance fraud. Because police records are condential. you are not allowed to see the records. An administrator at the police department takes a random sample of n = 150 les and calculates that the average dollar loss for insurance iraud is an average is $500 with a standard deviation of $215. a) Using this sample. calculate a 95% confidence interval for the average dollar loss for insurance fraud using a sample size of 150. b) Provrde a substantive interpretation of the condence interval. A day later. the police department administrator contacts you and tells you that they made an error. The sample mean ($500) and standard deviation ($275) are correct, but they actually sampled only n = 100 les (not 150) 3) Using this updated information, calculate a 95% condence interval for the average dollar loss for insurance fraud using a sample size of 100. d) What happened to the precision of interval when the sample size decreased? Explain why. 7. The Social Security Administration (SSA) recently released a study that concluded the system may encounter serious nancial difculties as the large population of baby boomers continues to retire. One potential solution to this problem is to raise the cap on taxable income. Currently, any income that a person earns above $127,200 per year is not subject to Social Security taxes. It that limit was raised, then earnings above $127,200 would be subject to Social Security taxes and thus the program would bring in xes (especially on the wealthy) is difcult and requires a lot of politi . 'al Security taxes. the Gallup polling HW S , Estimation....pdf PM J 65"F Clear ' ' 51 5,11 0,2022 ' lnl)i:o; (11,737) - bnr Assignrrients: 202201- - ' HW 5 - Estimation and t G S 211 - Homework X it Homework Help 415% X + C drive.google.c0m \"l Apps CIT Sen/ice Desk , S... G myGeneseo Campu .. Jamt' Pro \"\\'a Parapl'iraslng Tool |. . HelpDesk '3' CIT Geneseo Status. . Study Guide , TEST... The Social Security Administration (SSA) recently released a study that concluded the system may encounter serious nancial difculties as the large population of baby boomers continues to retire. One potential solution to this problem is to raise the cap on taxable income. Currently. any income that a person earns above $127200 per year is not subject to Social Security taxes. It that limit was raised, then earnings above $127,200 would be subject to Social Security taxes and thus the program would bring In more revenue to pay for retirees. However, raising taxes (especially on the wealthy) l5 difcult and requires a lot of political support. TO determine whether there IS widespread political support for raising the cap on Social Security taxes. the Gallup polling agency surveyed a nationally representative sample of n = 400 non-retired persons. The Gallup poll asked respondents two questions: (1) whether they were aware that the Social Security program had funding problems [yes/ho]. and (2) whether they were in favor of raising the 5127.200 cap on taxable Income for Social Security taxes [yestno]. The results of the poll were as lollows: the percentage (proportion) responses to the rst question, 54% of respondents said they were not aware that Social Security had fundan problems, and the percentage (proportion) responses to the second question. 82% said they were In favor raising the cap on taxable Income to pay for Scolal Security. a) Based on a sample size of n = 400. calculate a 99% condence Interval to estimate the percemage of non-retired people in the population who were not aware about problems with Social Security funding. Can you conclude that a majority (i.e. >50/a) of noneretired people in the populatlon are not aware of problems with Social Security Funding? Based on a sample size of n - 400. calculate a 99% condence interval to estimate the percentage of non-retired people in the population who were in favor of raising the cap on taxable income for Social Security. Can you conclude that a maiority (i.e. >50%) of non-retired people in the populatlon favor raising the cap on taxable income? HW S , Estimation....pdf Ht ' PM 0 at V a r: 4 .1 J6S"FCIear ' ' 51 5.11 0.2022 M Inbox (11,737) - bnr3@ge x Assignments: 202201-SO( X 4 HW 5 - Estimation and Hy X G SOCL 211 - Homework As X *Homework Help - Q&A fr X + X C drive.google.com/file/d/109DmiKfizkJnZ_B24-HQgzt3MDB38Pb0/view New O Apps CIT Service Desk - S... G myGeneseo Campu... Jamf Pro Paraphrasing Tool |... HelpDesk CIT Geneseo Status... S Study Guide - TEST.. 8. Based on prior research of all students in Monroe County, the average number of push-ups that students in this population can complete is a population mean of 12 push-ups with a population standard deviation of 8. You select a random sample of n = 50 fifth grade students drawn from student body population in Monroe County. Among the fifth grade students in the sample, the number of push-ups they can complete is a sample mean of 14. Can you conclude (at the alpha = .05 level) that the population of fifth grade students differs from the population of all students in the average number of push-ups they can complete? Perform a statistical hypothesis test to answer the questions. a) What three statistical assumptions must be made before engaging in hypothesis testing? b) Based on this research question, state the research and null hypotheses. c) What is the value of the critical test statistic for this hypothesis test at the given level of alpha? d) Calculate the obtained test statistic. e) Compare the obtained and critical test statistics - can you reject the null hypothesis? f) Provide a substantive interpretation of your results as it pertains to the original question - in other words, can you conclude that fifth grade studerPage diff4rent/from6the population @ all stufonts? PDF HW 5 - Estimation...pdf Show all X O O W S 65OF Clear G 9:46 PM O X 5/10/2022M Inbox (11,737) - bnr3@ge x Assignments: 202201-SO( X 4 HW 5 - Estimation and Hy X G SOCL 211 - Homework As X Homework Help - Q&A fr X + X C A drive.google.com/file/d/109DmiKfizkJnZ_B24-HQgzt3MDB38Pb0/view New Apps CIT Service Desk - S... G myGeneseo Campu... Jamf Pro Paraphrasing Tool |... HelpDesk CIT Geneseo Status... S Study Guide - TEST. PDF HW 5 - Estimation and Hypothesis Testing.pdf What is the value of the critical Open with Microsoft Edge given level of alpha? PDF ... d) Calculate the obtained test statistic. e) Compare the obtained and critical test statistics - can you reject the null hypothesis? f) Provide a substantive interpretation of your results as it pertains to the original question - in other words, can you conclude that fifth grade students are different from the population of all students? 9. Scenario: You are performing a t-test with a sample size of 500 using a non-directional (two-tailed) hypothesis. You get an obtained test statistic of t = 2.576. What is the p value associated with this test statistic? 10. Scenario: You are performing a t-test with a sample size of 500 using a non-directional (two-tailed) hypothesis. You get a p value for your test of p = 0.05. \\ What is the obtained test statistic (t) ciated with this p value? Page 4 6 + PDF HW 5 - Estimation...pdf Show all X O W S 9:46 PM O 65OF Clear G O X 5/10/2022