
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Topic Video
Question
Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At Jefferson High School, a random sample of n = 65 students (ages 16-19) showed that r = 10 had been victims of a crime. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.
(a) Do these data indicate that the population proportion of students in this school (ages 16-19) who have been victims of a crime is different (either way) from the national rate for this age group? Use
α = 0.05.
Do you think the conditions
np > 5
and
nq > 5
are satisfied in this setting?
(i) What is the level of significance?
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(b) Find a 95% confidence interval for the proportion of students in this school (ages 16-19) who have been victims of a crime.
(c) How large asample size should be used to be 95% sure that the sample proportion p̂ is within a margin of error
students
lower limit | |
upper limit |
(c) How large a
E = 0.04
of the population proportion of all students in this school (ages 16-19) who have been victims of a crime? Hint: Use sample data p̂ as a preliminary estimate for p. (Round your answer up to the nearest student.) students
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 4 steps with 4 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
- Matrimo.., ..onthly is a top-selling magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors. This past week, the magazine examined a random sample of 280 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 280.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value for each of the wedding location categories. 2 (Observed frequency – Expected frequency) Expected frequency Part 1 (fo-fE) Fill in the missing values in the…arrow_forwardA psychologist is examining the influence of an older sibling in the development of social skills. A sample of three-year old children is obtained. Half the children had no siblings and the others had at least 1 older sibling who is within 5 years of the child's age. The psychologist records a social skills score for each child and obtains the following data. No sibling Older sibling n= 10 n= 17 M= 17 M= 23 2- 50.741 = 48.578 a. Do these data indicate that having an older sibling has a significant effect on the development of social skills? Test at the ,05 level. b. Compute d c. Give an APA formatted summary of your findings.arrow_forwardWe often describe our emotional reaction to social rejection as “pain.” A clever study asked whether social rejection causes activity in areas of the brain that are known to be activated by physical pain. If it does, we really do experience social and physical pain in similar ways. Subjects were first included and then deliberately excluded from a social activity while changes in brain activity were measured. After each activity, the subjects filled out questionnaires that assessed how excluded they felt. Here are data for 13 subjects. The explanatory variable is “social distress” measured by each subject’s questionnaire score after exclusion relative to the score after inclusion. (So values greater than 1 show the degree of distress caused by exclusion.) The response variable is change in activity in a region of the brain that is activated by physical pain. create a scatterplotarrow_forward
- Based on a random sample of 1000 people, a researcher obtained the following estimates of the percentage of people lacking health insurance in one U.S. city. Classify the study as either descriptive or inferential. Select one: a. Descriptive b. Inferentialarrow_forwardA social psychologist wants to know if people judge a person's attractiveness differently if they appear rich or poor. Two pictures were taken with the same model, one in expensive clothes standing next to a new sports car, and the other in old clothes standing next to an old hatchback car. In an online survey, participants were randomly divided so that they saw one of the two pictures and were asked to rate the model's attractiveness on a scale of 1 to 10. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVAarrow_forwardPage 160 #17 We predict that children exhibit more aggressive act after watching a violent television show. The scores for ten children were recorded before they watched a violent show and then after they watched a violent show. Aggression was measured in terms of number of aggressive acts (e.g. hitting, yelling, kicking etc). Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1 Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2 What is the experimental hypothesis?arrow_forward
- Are very young infants more likely to imitate actions that are modeled by a person or simulated by an object? This question was the basis of a research study. One action examined was mouth opening. This action was modeled repeatedly by either a person or a doll, and the number of times that the infant imitated the behavior was recorded. Twenty-seven infants participated, with 12 exposed to a human model and 15 exposed to the doll. Summary values are shown below. Person Model Doll Model x 5.11 3.47 s 1.60 1.30 Is there sufficient evidence to conclude that the mean number of imitations is higher for infants who watch a human model than for infants who watch a doll? Test the relevant hypotheses using a 0.01 significance level. (Use ?Person − ?Doll.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.)…arrow_forwardIn an article about unusual allergies, a doctor explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation's 10 million asthmatics who are allergic to sulfites. In one survey, 39 of 600 randomly selected asthmatics in the country were found to be allergic to sulfites. Find and interpret a 95% confidence interval for the proportion, p, of all asthmatics in the country who are allergic to sulfites. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. to The 95% confidence interval is from (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. O A. There is a 95% probability that the sample proportion of all asthmatics in the country who are…arrow_forwardWhen I was an undergraduate, I helped my father conduct some Child Psychology research about parental influence on gender bias. In this study we interviewed 158 kindergarteners. Our initial question was "What is your favorite color?" where we studied the distribution of "Pink" and "Blue" responses. To our surprise, 38 of the students interviewed responded "Turquoise". Use this information to select the response which correctly answers the question. According to this description, which term best describes our study? O Cross-Sectional O Retrospective O Prospectivearrow_forward
- Please see below. I am only given one opportunity at this. Please help!! Successful hotel managers must have personality characteristics often thought of as feminine (such as "compassionate") as well as those often thought of as masculine (such as "forceful"). The Bem Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 148 male general mangers of three-star and four-star hotels had mean BSRI femininity score of 5.29 with a SD of 0.78. The mean score for the general male population is μ=5.19. Do hotel managers on the average differ significantly in femininity score from men in general? A 2-sample test for proportions B z-test for proportions C 2-sample test for means D t-test for means E z-test for meansarrow_forwardDr. Guidry conducts a study examining the relationship between the number of friends one has and the experience of daily stress and life satisfaction. She randomly samples 1,500 elderly men and women in Nashville, Tennessee (the state capital), located in the southern United States. Below are her findings.• Life satisfaction and experience of daily stress: r = .57 (p = .01)• Number of friends one has and experience of daily stress: r = .09, not sig.• Number of friends one has and life satisfaction: r = .36 (p = .04) In determining whether the relationship between two of Dr. Guidry’s variables was statistically significant, which of the following must be considered? a. Sample size and number of variables analyzed b. Direction of the association and strength of the association c. Sample size and effect size d. The number of outliers and the direction of the association Answer is C. But why? Why,b,c,d are wrong?arrow_forwardA social psychologist wanted to determine whether attitudes of men toward abortion were different in rural and urban areas. He prepared a questionnaire and administered it to a group of city dwellers and a group of country dwellers. Each city man was matched with a country man on age, income, and education. High scores indicate positive attitudes toward abortion. Here are the questionnaire scores. Rural Men Urban Men 22 25 19 23 18 20 17 18 15 12 10 9 6 4 4 3 a. What statistical method should be used and why? b. Calculate a 95% confidence interval about the difference in the two populations. c. Use the CI to test the null hypothesis that rural and urban men have identical attitudes toward abortion.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