
Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 1, Problem 5CRE
To determine
To obtain: The value of expression that is used to determine the size of the sample necessary to estimate the proportion of college students.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603)
Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.
2. [20] Let {X1,..., Xn} be a random sample from Ber(p), where p = (0, 1). Consider two
estimators of the parameter p:
1
p=X_and_p=
n+2
(x+1).
For each of p and p, find the bias and MSE.
1. [20] The joint PDF of RVs X and Y is given by
xe-(z+y), r>0, y > 0,
fx,y(x, y) =
0,
otherwise.
(a) Find P(0X≤1, 1
Chapter 1 Solutions
Essentials of Statistics (5th Edition)
Ch. 1.2 - Statistical Significance versus Practical...Ch. 1.2 - Source of Data In conducting a statistical study,...Ch. 1.2 - Voluntary Response Sample What is a voluntary...Ch. 1.2 - Correlation and Causation What is meant by the...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...
Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - In Exercises 17-20, refer to the data in the table...Ch. 1.2 - In Exercises 17-20, refer to the data in the table...Ch. 1.2 - Prob. 19BSCCh. 1.2 - Conclusion If we use the listed pulse rates with...Ch. 1.2 - In Exercises 21-24, refer to the data in the table...Ch. 1.2 - Prob. 22BSCCh. 1.2 - Prob. 23BSCCh. 1.2 - In Exercises 21-24, refer to the data in the table...Ch. 1.2 - Prob. 25BSCCh. 1.2 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.2 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.2 - Prob. 28BSCCh. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Prob. 32BSCCh. 1.2 - Percentages in Advertising An ad for Big Skinny...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages in Advertising A New York Times...Ch. 1.2 - ATV Accidents The Associated Press provided an...Ch. 1.2 - Falsifying Data A researcher at the...Ch. 1.2 - Whats Wrong with This Picture? The Newport...Ch. 1.3 - Parameter and Statistic What is a parameter, and...Ch. 1.3 - Prob. 2BSCCh. 1.3 - Discrete/Continuous Data Which of the following...Ch. 1.3 - Identifying the Population In a Gallup poll of...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - Prob. 17BSCCh. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - Prob. 19BSCCh. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - Prob. 23BSCCh. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - Countable For each of the following, categorize...Ch. 1.3 - Scale for Rating Food A group of students develops...Ch. 1.3 - Interpreting Temperature Increase In the Born...Ch. 1.4 - Simple Random Sample At a national conference of...Ch. 1.4 - Observational Study and Experiment You want to...Ch. 1.4 - Simple Random Convenience Sample A student of the...Ch. 1.4 - Convenience Sample The author conducted a survey...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Prob. 23BSCCh. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Prob. 27BBCh. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 31-34, identify which of these...Ch. 1.4 - In Exercises 31-34, identify which of these...Ch. 1.4 - Prob. 33BBCh. 1.4 - In Exercises 33-36, identify which of these...Ch. 1.4 - Blinding For the study described in Exercise 34,...Ch. 1.4 - Sample Design Literacy In Cardiovascular Effects...Ch. 1 - Chicago Bulls The numbers of the current players...Ch. 1 - Chicago Bulls Which of the following best...Ch. 1 - Earthquake Depths Data Set 16 includes depths (km)...Ch. 1 - Earthquake Depths Are the earthquake depths...Ch. 1 - Earthquake Depths Which of the following best...Ch. 1 - Earthquake Depths True or false: If you construct...Ch. 1 - Prob. 7CQQCh. 1 - Parameter and Statistic In a recent Gallup poll,...Ch. 1 - Observational Study or Experiment Are the data...Ch. 1 - 10. Statistical Significance and Practical...Ch. 1 - Walmart Stores Currently, there are 4227 Walmart...Ch. 1 - Whats Wrong? A survey sponsored by the American...Ch. 1 - Whats Wrong? A survey included 4230 responses from...Ch. 1 - Sampling Seventy-two percent of Americans squeeze...Ch. 1 - Percentages a. The labels on U-Turn protein energy...Ch. 1 - Why the Discrepancy? A Gallup poll was taken two...Ch. 1 - Statistical Significance and Practical...Ch. 1 - Marijuana Survey In a recent Pew poll of 1500...Ch. 1 - Marijuana Survey Identify the type of sampling...Ch. 1 - Marijuana Survey Exercise 8 referred to a Pew poll...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 5CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Simple Random Sample In this project, we will use...Ch. 1 - Critical Thinking The concept of six degrees of...Ch. 1 - Critical Thinking The concept of six degrees of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 4. [20] Let {X1,..., X} be a random sample from a continuous distribution with PDF f(x; 0) = { Axe 5 0, x > 0, otherwise. where > 0 is an unknown parameter. Let {x1,...,xn} be an observed sample. (a) Find the value of c in the PDF. (b) Find the likelihood function of 0. (c) Find the MLE, Ô, of 0. (d) Find the bias and MSE of 0.arrow_forward3. [20] Let {X1,..., Xn} be a random sample from a binomial distribution Bin(30, p), where p (0, 1) is unknown. Let {x1,...,xn} be an observed sample. (a) Find the likelihood function of p. (b) Find the MLE, p, of p. (c) Find the bias and MSE of p.arrow_forwardGiven the sample space: ΩΞ = {a,b,c,d,e,f} and events: {a,b,e,f} A = {a, b, c, d}, B = {c, d, e, f}, and C = {a, b, e, f} For parts a-c: determine the outcomes in each of the provided sets. Use proper set notation. a. (ACB) C (AN (BUC) C) U (AN (BUC)) AC UBC UCC b. C. d. If the outcomes in 2 are equally likely, calculate P(AN BNC).arrow_forward
- Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. 0.191 0.186 0.201 0.2005 0.203 0.210 0.234 0.248 0.260 0.273 0.281 0.290 0.305 0.310 0.308 0.311 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) ○ A. Yes. The correlation between the expected z-scores and the observed data, , exceeds the critical value, . Therefore, it is reasonable to conclude that the data come from a normal population. ○…arrow_forwardding question ypothesis at a=0.01 and at a = 37. Consider the following hypotheses: 20 Ho: μ=12 HA: μ12 Find the p-value for this hypothesis test based on the following sample information. a. x=11; s= 3.2; n = 36 b. x = 13; s=3.2; n = 36 C. c. d. x = 11; s= 2.8; n=36 x = 11; s= 2.8; n = 49arrow_forward13. A pharmaceutical company has developed a new drug for depression. There is a concern, however, that the drug also raises the blood pressure of its users. A researcher wants to conduct a test to validate this claim. Would the manager of the pharmaceutical company be more concerned about a Type I error or a Type II error? Explain.arrow_forward
- Find the z score that corresponds to the given area 30% below z.arrow_forwardFind the following probability P(z<-.24)arrow_forward3. Explain why the following statements are not correct. a. "With my methodological approach, I can reduce the Type I error with the given sample information without changing the Type II error." b. "I have already decided how much of the Type I error I am going to allow. A bigger sample will not change either the Type I or Type II error." C. "I can reduce the Type II error by making it difficult to reject the null hypothesis." d. "By making it easy to reject the null hypothesis, I am reducing the Type I error."arrow_forward
- Given the following sample data values: 7, 12, 15, 9, 15, 13, 12, 10, 18,12 Find the following: a) Σ x= b) x² = c) x = n d) Median = e) Midrange x = (Enter a whole number) (Enter a whole number) (use one decimal place accuracy) (use one decimal place accuracy) (use one decimal place accuracy) f) the range= g) the variance, s² (Enter a whole number) f) Standard Deviation, s = (use one decimal place accuracy) Use the formula s² ·Σx² -(x)² n(n-1) nΣ x²-(x)² 2 Use the formula s = n(n-1) (use one decimal place accuracy)arrow_forwardTable of hours of television watched per week: 11 15 24 34 36 22 20 30 12 32 24 36 42 36 42 26 37 39 48 35 26 29 27 81276 40 54 47 KARKE 31 35 42 75 35 46 36 42 65 28 54 65 28 23 28 23669 34 43 35 36 16 19 19 28212 Using the data above, construct a frequency table according the following classes: Number of Hours Frequency Relative Frequency 10-19 20-29 |30-39 40-49 50-59 60-69 70-79 80-89 From the frequency table above, find a) the lower class limits b) the upper class limits c) the class width d) the class boundaries Statistics 300 Frequency Tables and Pictures of Data, page 2 Using your frequency table, construct a frequency and a relative frequency histogram labeling both axes.arrow_forwardTable of hours of television watched per week: 11 15 24 34 36 22 20 30 12 32 24 36 42 36 42 26 37 39 48 35 26 29 27 81276 40 54 47 KARKE 31 35 42 75 35 46 36 42 65 28 54 65 28 23 28 23669 34 43 35 36 16 19 19 28212 Using the data above, construct a frequency table according the following classes: Number of Hours Frequency Relative Frequency 10-19 20-29 |30-39 40-49 50-59 60-69 70-79 80-89 From the frequency table above, find a) the lower class limits b) the upper class limits c) the class width d) the class boundaries Statistics 300 Frequency Tables and Pictures of Data, page 2 Using your frequency table, construct a frequency and a relative frequency histogram labeling both axes.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell

Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License