MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Topic Video
Question
2. Is there a difference in the proportion of individuals with food allergies
between young children and adults? A survey finds that 62 among a simple
random sample of 350 young children have some food allergy, compared
with 26 out of 250 adults.
a. State the hypotheses to be tested.
b. Compute the value of the pooled proportion
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 3 images
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
- 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 900 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 Woman Man Women who agree Women who disagree 589 249 311 51 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H: The proportions are the same. O B. Hn: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H: The proportions are different. OC. Ho: The response of…arrow_forward14.arrow_forwardThe table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 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 625 330 Women who disagree 275 70 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?arrow_forward
- 5. Critical Thinking ProblemIn a Wakefield Research Survey, respondents were asked if they were hesitated to give ahandshake because of a fear of germs. Of the respondents, 411 answered “yes” and 592said “no”. We want to test the claim that ? < 0.5, where p denotes the proportion of“yes” respondents for the population. Use ? = 0.05.a. What is the sample proportion of yes respondents, and what notation is used torepresent it?b. What is the P-value? Write your answer using ordinary notation.c. What does the P-value suggest about the claim?arrow_forwardA research poll included 1614randomly selected adults who were asked whether "global warming is a problem that requires immediate government action." Results showed that 972 of those surveyed indicated that immediate government action is required. A news reporter wants to determine whether these survey results constitute strong evidence that the majority (more than 50%) of people believe that immediate government action is required. Complete parts (a) through (c) below. a. What is the best estimate of the proportion of adults who believe that immediate government action is required? the best estimate is ?arrow_forwardEspañol According to previous studies, 10% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 12%. The student is going to take a random sample of 900 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0.12 (b) Find the standard deviation of p. X 5 (c) Compute an approximation for P(p≤0.12), which is the probability that there will be 12% or fewer left-handed people in the sample. Round your answer to four decimal places. A 27arrow_forward
- The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…arrow_forwardYou have been asked to estimate the proportion of households in Chicago that have two or more vehicles. a) How many households would you need to sample to be within 2 percent of the proportion of all households in Chicago that have two or more vehicles at a 90% level of confidence. b) You conduct a small preliminary sample, and you obtain a sample proportion of 19.5% that have two or more cars. Using this new information, what sample size should you gather in order to be within 2 percent of the proportion of all households in Chicago that have two or more vehicles at a 90% level of confidence.arrow_forwardA college president says, “99% of the alumni support my firing of Coach Boggs.” You contact an SRS of 200 of the college’s 15,000 living alumni and find that 66 of them support firing the coach. What population does the inference concern here? Explain clearly what the population proportion p is in this setting. What is the numerical value of the sample proportion ˆp ?arrow_forward
- Answer the questions in the images.arrow_forwardWhat statistical analysis could be used to determine whether the unsuccessful dieters attained a significantly different percentage from their weight-loss goal, on average, than did the successful dieters? single-sample t test In which of the following four categories does this situation fall? a. only scale variables b. nominal independent variables, scale dependent variable c. only nominal variables d. any ordinal variables (that cannot be treated as nominal)arrow_forwardSleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 11.911.9 million out of the 312.7312.7 million Americans suffer from sleep apnea, or approximately 3.8%3.8%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.8%3.8%, a simple random sample of 347347 commercial truck drivers is examined by a medical expert, who concludes that 66 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.8%3.8%? Use a 0.020.02 level of significance. Step 3 of 4 : Find the p-value. Round…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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