7A study of the post treatment behavior of a large number of drug abusers suggests that the likelihood of conviction within a two-year period after treatment maydepend upon the offenders education. The proportions of the total number of cases falling in four education-conviction categories are shown in the following table.Education10 years or more9 years or lessTotal(a) Find P(A).(b) Find P(B).(c) Find P(An B).(d) Find P(A U B).(e) Find P(A).(f) Find P(A U B).Status within 2 Yearsafter Treatment(g) Find P(A n B).Convicted0.200.160.36Not Convicted0.10Suppose that a single offender is selected from the treatment program. Define the following events.A: The offender has 10 or more years of education.B: The offender is convicted within two years after completion of treatment.0.540.64(h) Find P(AIB). (Round your answer to two decimal places.)Total(i) Find P(BIA). (Round your answer to two decimal places.)0.300.701.00

(a) 0.30(b) 0.36(c) 0.20(d) 0.46(e) 0.70(f) 0.54(g) 0.80(h) 0.56(i) 0.67Explanation: (a) P(A) from…

Answered: 7 A study of the post treatment…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Returning to a previously described scenario: Suppose that a scientist is interested in determining if the proportion of females who prefer Diet Coke to regular Coke is different from the proportion of males who prefer Diet Coke to regular Coke. They randomly sample 219 people and ask them if they prefer Diet Coke to regular Coke, and also record if they are a male or a female. Their study results in the following table: males females total sample size 112 107 219 number of successes 56 73 129 sample proportion 0.50 0.68 0.59 What differences in sample proportions would be considered “as or more unusual” if the null hypothesis is true (i.e. further away from the hypothesized difference than the observed difference is from the hypothesized difference)? To be clear we are referring to absolute difference regardless of if it is negative or positive. Differences greater than 0.18 Differences greater than 0…
esc In a 2012 report from the U.S. Department of Education breaking down the race and gender of every U.S. college graduate receiving a bachelor's degree in 2009-2010, we see the following data for white, black, and Hispanic graduates. (Numbers are in 1000s.) Race White (Expected) Black (Expected) Hispanic (Expected) Total Gender Males 514 (508.32) 56 (70.01) 55 (59.40) 625 Females What is the chi-squared statistic for this data? A. O 2.06 B. 3.81 C.O 6.63 D.O 2.80 654 (689.68) 109 (94.99) 85 (80.60) 848 Both 1198 165 140 1473 Source: "Degrees Conferred by Sex and Race," National Center for Education Statistics, U.S. Department of Education. https://nces.ed.gov/fastfacts/display.asp?id=72 MacBoo
A local bus company is planning a new route to serve four housing subdivisions. Random samples of households are taken from each subdivision, and sample members are asked to rate, on a scale of 1 (strongly opposed) to 5 (strongly in favor), their reaction to the proposed service. The results are summarized in the accompanying table. Subdivision 1 Subdivision 2 Subdivision 3 Subdivision 4Ni 240 190 350 280ni 40 40 40 40x̄i 2.5 3.6 3.9 2.8si 0.8 0.9 1.2 0.7a. Find a 90% confidence interval for the mean reaction of households in subdivision 1.b. Using an unbiased estimation procedure, estimate the mean reaction of all households to be served by the new route. c. Find 90% and 95% confidence intervals…
Hospital Stays. The U.S. National Center for Health Statistics collects data on length of stay in noninstitutional, short-stay hospitals by sex and age. Results are published in Vital and Health Statistics. Independent random samples of Americans were taken to compare the lengths of stay (in days) for males and females in four age groups (15–24 years, 25–34 years, 35–44 years, and 45–64 years). The data are in the following table. a. the response variable b. the factors c. the levels of each factor d. the number of treatment combinations e. the experimental units f. the number of observations for each treatment combination g. the experimental factors, if any h. the classification factors, if any i. whether the study is a designed experiment or an observational study
Smoking is detrimental to health. The following shows the years of smoking and life expectancy at the age of 40 for 5 female employees working at Ernst & Young. Employee ? Anne Lena Ying Hyuna Sasha ?? 25 22 5 20 17 ?? 63 62 75 72 68 (i) Treating the data as a sample, compute ??? and ???. (ii) Treating the data as the population, compute ??? and ???.
7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
Household Income and College Plans Exercise 3.93 introduces a survey of a representative sample of 920 US teens (ages 13 to 17). One of the questions asked whether the teen planned to attend a four-year college. The household income of the participants was also recorded, and the results are shown in the table below. Household income Less than $30,000 $30,000 to $75,000 More than $75,000 Total 0.05 4-yr college 88 170 276 534 Not 4-yr college 122 156 108 386 Total 210 326 Test to see whether there is an association between household income and plans for four-year college. (round to three decimal places) 384 920 What is the expected count for the first cell (Less than $30,000, 4-year college)? i 57.28 place) What is the contribution to the chi-square statistic for the first cell? i 2 What is the chi-square statistic? i 0.0000 What is the p-value? i What is the conclusion? (round to three decimal places) We find evidence of an association between household income and college plans. (round…
The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6 19.1 9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…
The national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score 1 or 2 3 5 Percentage 40% 25% 23% 12% A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. Score 1 or 2 3 4 5 Count 18 19 37 26 The chi-square statistic for these data equals 38.4. What do we know about the P-value for testing if the national model can be used for students in this school district? P-value 0.005 Can't tell
In a study of diagnostic processes, entering clinical undergraduate students are shown a 20-minute videotape of children's behavior and asked to rank-order 10 behavioral events on the tape in the order of the importance each has for a behavioral assessment. (1 = most important.) The data are then averaged to produce an average rank ordering for the entire class. The same thing was then done using experienced clinicians. The data are as follow: Events: 1 2 3 4 5 6 7 8 9 10 Experienced Clinicians: 1 3 2 7 5 4 8. 6 9 10 New Students: 2 4 1 6 5 3 10 8 7 9 Use Spearman's r, to measure the agreement between experienced and novice clinicians.
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 21 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. LAUSE SALT (a) What is the level of significance? ← State the null and alternate hypotheses. OM P=0.7; M₁: P 5 and ng> 5. O The Student's t, since np> 5 and ng 5. O The Student's t, since np < 5 and ng < 5 O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal places) - (C)…

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