The time interval between a person's initial infection with HIV and that person's eventual development of AIDS symptoms is an important issue. The method of infection with HIV affects the timeinterval before AIDS develops. One study of HIV patients who were infected by intravenous drug use found that 17% of the patients had AIDS after 4 years, and 54% had developed the disease after11 years. The relationship between the time interval and the percentage of patients with AIDS can be modeled accurately with a linear equation.a. Write a linear equation y=mt + b that models these data, using the ordered pairs (4,0.17) and (11,0.54).b. Use your equation from part a to predict the number of years before three quarters of these patients will have AIDS.a. The linear equation is.(Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.)AUG26MacBook AirATrash

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Answered: The time interval between a person's…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. F-ratio: Low Moderate p-value: 2.2 3.1 0.6 2.6 0.5 0 High Moderate 1.5 2.1 3.3 2.3 2.1 4.6 Moderately Severe 2.7 4.7 4.7 4.6 3.7 3.3 From this table, conduct ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Severe 3.8 2.4 5.3 4.7 4.2 4 What is your final conclusion? Use a significance level of a = 0.02. O There is sufficient evidence that there exists a significant difference between treatments. O There is not enough evidence to determine a difference…
Recently, researchers have begun to focus on the relationship between potentially toxic environmental exposures in children to a number of adverse health outcomes. Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m2). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home.Leal levels (μg/dL) 13.614.39.79.4 11.4 10.9BMI (kg/m2) 19.719.920.122.1 19.8 21.6A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables.B) Calculate a t statistic and interpret your pvalue and results.
A research study was conducted about gender differences in Sexting. The researcher believe that the proportion of girls involved in sexting is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is summarized in table. Is the proportion of girls sending sexts less than the proportion of boys sexting? The test at 1% level of significance. Females Males Sent sexts x1= 156 x2= 183 Total number surveyed n1= 2169 n2= 2231 Let M and F Be the subscripts for males and females. Then pM and pF are the desired population proportions. What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.01 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)…
About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. A recent survey of 962 North Carolinians indicated that 17.4% of those sampled speak a language other than English at home. Test the claim that the percentage of North Carolinians that speak a language other than English at home is significantly different from the rate of all Americans that speak a language other than English at home. Test this claim at the .02 level of significance. what is the test statistic and the p-value?
An important issue is whether there are racial differences in hypertension among children. We define hypertension as being above the 95th percentile for either systolic blood pressure (SBP) or diastolic blood pressure (DBP) among children of the same age, height, and sex. Since some of the children were observed at multiple visits, a GEE model was run of hypertension on ethnic group. There were three ethnic groups considered: Caucasian, African American, and Hispanic. The results among boys are given in Table 13.54. TABLE 13.54 Relationship between hypertension and ethnic group among 27,009 boys in the Pediatric Task Force Data Variable Regression Coefficient SE Intercept -2.07 0.026 African American 0.049 0.041 Hispanic 0.328 0.059 What is the estimated OR for hypertension comparing Hispanic boys vs. Caucasian boys? (Call this OR1.) What is a 95% CI for this estimate?
Absenteeism: Absenteeism can be a serious employment problem. It is estimated that absenteeism reduces potential output by more than 10%. Two economists launched a research project to learn more about the problem. They randomly selected 100 organizations to participate in a 1-year study. For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism. Question: Use the t-tests and the slope coefficient for U/M Rel to describe how the relationship between the union and the management affects absenteeism. (both MLR and t-test are provided below) Data: Wage Pct PT Pct U Av Shift U/M Rel Absent 22477 8.5 57.1 1 1 5.4 29939 1.9 41.5 0 1 4.1 22957 12.2 52.6 1 0 11.5 18888 30.8 65.1 0 1 2.1 15078 6.8 68.8 0 1 5.9 15481 5.1 46.4 0 0 12.9 21481 25.3 38.9 0 1 3.5 29687 9.2 17.2 0 0 2.6 13603 8.4 12.9 0 0 8.6 18303 4.9 18.1 0 1 2.7 20832 23.8 64.4 1 1 6.6 22325 24.1 63.7 1 1 2.1 19964 8.6…
If the omitted variable is negatively correlated with the treatment and has a positive impact on the outcome, the true causal effect is bigger than the estimated effect. Blank 1: enter "True" or "False" Blank 2: explain briefly (1-3 lines).
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There is a strong correlation between the number of firefighters at a fire and the amount of damage done.Part a: Can you minimize damage by sending fewer firefighters?Part b: Explain.
If it was found that two variables have a statistically significant relationship, we conclude that one variable affects the changes in the other variable without further information. This statement is (select one) True False
well-known multinational FMCG produces more than fifty products and sells them in the market. Out of fifty products one is mineral water for drinking purpose and supplies different size pack bottles in the market. Product manager observed that, during hot days the sale of water is more as compared to the normal days. He started the collection of data of weekly sale of water and the average weekly temperature. Product manager was interested in developing a relationship between sales and temperature; therefore, he discussed and shared the following data with you. sales 75 77 69 63 79 80 77 70 73 87 72 73 80 80 69 84 77 72 74 81 temperature 32 36 31 31 34 29 32 35 28 31 30 31 29 35 36 28 32 33 32 33 Sale is in thousand liters and temperature is in degree Celsius. Data is Normally distributed You are required to determine the following information for some concrete decision: Determine the…
(True/False). These data show that 80% of companies worth $75K or more are tracking the online and cellphone activity of 47% percent of US adults. (True/False). These data show that in comparison to companies, the government is less likely to track online activity. (True/False). These data show that companies run by individuals ages 18 to 29 years old are the most likely to track online activity. (True/False). These data show that the government is very likely to track Black adults (60%) and Hispanic adults (56%) and less likely to track White adults (43%).

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