Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 13.5, Problem 51E
To determine
Check whether the result is statistically significant or not at the 0.05 level of significance.
Comment on the practical significance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A sample of n=10,000 (x, y) pairs resulted in r= .022. Test H0: p=0 versus Ha: p=? 0 at significance level .05. Is the result statistically significant? Comment on the practical significance of your analysis.
Are seatbelts effective at saving lives? We wish to examine whether or not the use of seatbelts reduces
fatalities at the a = 0.01 level of significance. Let pN represent the proportion of non-seatbelt wearing
passengers who were involved in a crash and died and py represent the proportion of seatbelt wearing
passengers who were involved in a crash and died.
NOTE: The data used in this study were obtained through observational study...no experiment was
conducted!
Which would be correct hypotheses for this test?
O Ho:PN = pY, H1:PN > pY
Ho: PN = pY, H,:PN Py
In a random sample of 321 non-seatbelt wearing passengers involved in a car crash, 30 were killed. In a
random sample of 492 seatbelt wearing passengers involved in a car crash, 13 were killed.
Find the test statistic (2 decimal places):
Give the P-value (4 decimal places - if less than 0.001 answer 0):
Which is the correct result:
Reject the Null Hypothesis
O Do not Reject the Null Hypothesis
Which would be the appropriate…
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 19, α = 0.05
Group of answer choices
r = ±0.575
r = 0.468
r = 0.456
r = ±0.456
Chapter 13 Solutions
Introduction to Statistics and Data Analysis
Ch. 13.1 - Prob. 1ECh. 13.1 - The flow rate in a device used for air quality...Ch. 13.1 - The paper Predicting Yolk Height, Yolk Width,...Ch. 13.1 - Prob. 4ECh. 13.1 - Suppose that a simple linear regression model is...Ch. 13.1 - a. Explain the difference between the line y x...Ch. 13.1 - Prob. 7ECh. 13.1 - Hormone replacement therapy (HRT) is thought to...Ch. 13.1 - Prob. 9ECh. 13.1 - A simple linear regression model was used to...
Ch. 13.1 - Consider the accompanying data on x = Advertising...Ch. 13.2 - What is the difference between and b? What is the...Ch. 13.2 - The largest commercial fishing enterprise in the...Ch. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - An experiment to study the relationship between x...Ch. 13.2 - The paper The Effects of Split Keyboard Geometry...Ch. 13.2 - The authors of the paper Decreased Brain Volume in...Ch. 13.2 - Do taller adults make more money? The authors of...Ch. 13.2 - Researchers studying pleasant touch sensations...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Consider the accompanying data on x = Research and...Ch. 13.2 - Prob. 25ECh. 13.2 - In anthropological studies, an important...Ch. 13.3 - The graphs accompanying this exercise are based on...Ch. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - The article Vital Dimensions in Volume Perception:...Ch. 13.3 - Prob. 31ECh. 13.3 - An investigation of the relationship between x =...Ch. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - A subset of data read from a graph that appeared...Ch. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - The shelf life of packaged food depends on many...Ch. 13.4 - For the cereal data of the previous exercise, the...Ch. 13.4 - The article Performance Test Conducted for a Gas...Ch. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - A sample of n = 353 college faculty members was...Ch. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - The accompanying summary quantities for x =...Ch. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13 - Prob. 53CRCh. 13 - Prob. 54CRCh. 13 - Prob. 55CRCh. 13 - The article Photocharge Effects in Dye Sensitized...Ch. 13 - Prob. 57CRCh. 13 - Prob. 58CRCh. 13 - Prob. 59CRCh. 13 - Prob. 60CRCh. 13 - Prob. 61CRCh. 13 - The article Improving Fermentation Productivity...Ch. 13 - Prob. 63CRCh. 13 - Prob. 64CRCh. 13 - Prob. 65CRCh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - The accompanying graphical display is similar to...Ch. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Consider the following data on y = Number of songs...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - Prob. 11CRECh. 13 - Prob. 12CRECh. 13 - Prob. 13CRECh. 13 - Prob. 14CRECh. 13 - The discharge of industrial wastewater into rivers...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - It is hypothesized that when homing pigeons are...Ch. 13 - Prob. 18CRE
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
- In the population of senior students at Shermer High School, the proportion who plan to attend college is 0.64. In a random sample of 100 students from this population, the proportion who plan to attend college is 0.75. We would call the value 0.64 a P-value. z-score. parameter statistic significance level.arrow_forwardD Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of α=0.10. Overhead width (cm) Weight (kg) Click the icon to view the critical values of Spearman's rank correlation coefficient. Ho: Ps H₁: Ps Determine r Determine the null and alternative hypotheses. ▼ A₂ 7.6 141 Ts=(Round to three decimal places as needed.) 7.1 9.5 7.8 8.4 9.1 110 154 170 232 177 Determine the critical values. Critical values are DELL Next 11:25 AM 4/9/2023arrow_forwardWhat is the null hypothesis when testing for significance using the Pearson correlation coefficient? a. µ1 = µ2 b. r = 0 c. ρ = 0 d. r x 0arrow_forward
- a. Interpret the effect of a three (3) unit increase in Length on the response of Weight. b. The p-value to test the null hypothesis that the slope on Length is 0 (H0 : β1 = 0), isapproximately 0. What can you say about Length being a significant explanatory variable orcovariate when explaining Weight?arrow_forwardThe recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 395 convicted sex offenders who were also drug addicts, 40 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance? For this study, we should use: Select an answer? z-test for a population proportion or t-test for a population mean ? The null and alternative hypotheses would be: Ho: μ or p? Select an answer: < > = ≤ ≥ ≠? ______ (please enter a decimal) H1: p or μ? Select an answer: > < ≥ = ≤ ≠? _____ (Please enter a decimal) The test statistic: t or z? =_______ (please show your answer to 3 decimal places.) The p-value =_________? (Please show your answer to 4 decimal places.) The p-value is ? ≤ or >? Based on this, we should? Select an answer: reject? fail to reject? or accept? the null hypothesis. Thus, the final conclusion is that ... The data suggest the…arrow_forwardhelp!arrow_forward
- Z= and P-Value=arrow_forwardOst watched Ani... Question 2 Y Part 1 of 4 A doctor in Cleveland wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 9% level of significance to test whether the average life span of heart disease patients in Cleveland differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 7.4, 7.8, 7.7, 7.5, 8, 8.2, 7.8, 8.6, 8, 7.8, 8.3, 8.3, 8, 7.6, 8.2, 7.9, 7.3, 8, 8.6, 7.3, 8.3, 8, 7.8, 8, 7.8, 8.1, 8.1, 8, 7.6, 7.6, 7.7, 7.4, 7.7, 7.8, 7.8 Life Span of Patients Treated at Hospital 2: 7.9, 7.9, 8.2, 8, 8.1, 8.5, 8.3, 8.4, 8, 8.2, 7.7, 8, 8, 7.8, 7.9, 8.1, 8.1, 7.8, 7.9, 8, 8.5, 8.3, 8.2, 8.3, 7.8, 7.9 Life Span of Patients Treated at Hospital 3: 8.2, 8.1, 7.4, 8.7, 8.6, 8.2, 7.9, 8.1, 8.1, 8.3, 8.3, 8, 7.6, 8, 7.4, 8.6, 8.2, 8.2, 7.9, 7.7, 8.1, 7.9, 8, 8.3 Life Span of…arrow_forwardMake a statistical decision about the null. Will you reject or fail to reject the null based on your sample data? (Assume alpha (α) is .05 for this study.) What do your results mean in words a layman would understand. Calculate the effect size (r2). Interpret r2 in the context of this research. Calculate Cohen’s d for the context of this study. Interpret what Cohen’s d means in the context of the study.arrow_forward
- Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P 0 O Ho: P #O H₂: p=0 O Ho: P = 0 H₁₂ :P #0 8.07 24.69 12.33 6.85 24.22 35.69 y 0.29 0.65 0.31 0.27 0.80 0.57 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. r= Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Fail to reject Ho. The data indicates that the…arrow_forwardSuppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 99.67, y = 100.6, r=0.890, P-value = 0.000, and %3D %3D y = - 5.27 + 1.06x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 104? Use a significance level of 0.05. | Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. (Round to two decimal places as needed.)arrow_forwardWhen computing the Z value to compare between two samples of two populations, o2 is a parameter of the statistical equation. Select one: O True O Falsearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License