**Congress Voting on Women’s Issues**The *American Economic Review* (March 2008) published research on how the gender mix of a U.S. legislator’s children can influence the legislator’s votes in Congress. The American Association of University Women (AAUW) uses voting records of each member of Congress to compute an AAUW score, where higher scores indicate more favorable voting for women’s rights. The researcher wants to use the number of daughters a legislator has to predict the legislator’s AAUW score.a. **In this study, identify the dependent and independent variables.** - *Dependent Variable*: AAUW score - *Independent Variable*: Number of daughtersb. **Explain why a probabilistic model is more appropriate than a deterministic model.** A probabilistic model is more appropriate because it accounts for the inherent variability and uncertainty in the relationship between the number of daughters and the AAUW score. Legislators may have varying influences and motivations affecting their voting behavior beyond just the number of daughters, which a probabilistic model can accommodate by incorporating randomness and allowing for variability.c. **Write the equation of the straight-line, probabilistic model.** The equation of the straight-line probabilistic model can be expressed as: \[ \text{AAUW score} = \beta_0 + \beta_1 \times (\text{Number of daughters}) + \epsilon \] Where: - $\beta_0$ is the y-intercept, - $\beta_1$ is the slope of the line, representing the change in AAUW score for each additional daughter, - $\epsilon$ is the random error term accounting for variability not explained by the model.

Given : a) Here the Independent variable would be the one which is used to predict the dependent…

Answered: 11.10 Congress voting on women's…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. Self-esteem, or a person's sense of their own worth, is a global concept that can be impacted by many elements of a person's life. A researcher would like to measure the association between academic self-efficacy, or a person's belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. Academic self-efficacy 60 36 12 6 26 5 4 60 34 10 x=25.30 s²x = 472.19 Sx = 21.73 Self-esteem 15 14 16 11 12 35 18 14 19 24 y = 17.80 s²y = 50.55 Sy=7.11 a. Compute the Pearson correlation. b. Determine is the correlation coefficient is significant or not. c. If you were trying to predict someone's self-esteem from their academic self-efficacy, what would the equation be? d. If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score? e. If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem…
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=__(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)=__
By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %
5. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years.36 The two-way table below displays the data. Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Smoking Status Nonsmoker Former Moderate Heavy Primary School 56 54 41 36 Education Secondary School 37 43 27 32 University 53 28 36 16
4. Straight As now, healthy later A study by Pamela Herd of the University of Wisconsin-Madison found a link between high-school grades and health. Analyzing data from the Wisconsin Longitudinal Study, which has tracked the lives of thousands of Wisconsin high-school graduates from the class of 1957, Herd found that students with higher grade-point averages were more likely to say they were in excellent or very good health in their early 60s. Does this mean people will live healthier lives if they increase their GPA? Explain.47
A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.
What social media tools do marketers commonly use? The “2015 Social Media Marketing Industry Report” by Social Media Examiner (socialmediaexaminer.com) surveyed marketers who commonly use an indicated social media tool. Surveyed marketers who commonly use an indicated social media tool. Surveyed were both B2B marketers, marketers that primarily target consumers. Suppose the survey was based on 500B2B marketers and 500 B2C marketers and yielded the results in the following table below: SOCIAL MEDIA TOOL BUSINESS FOCUS (B2B) (%) BUSINESS FOCUS (B2C) (%) FACEBOOK 88 96 TWITTER 83 77 For each social media tool, at the 0.05 level of significance, determine whether there is a difference between B2B marketers and B2C marketers in the proportion who used each social media tool. State the complete hypotheses (hypothesis null and hypothesis alternative for question (a) above
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a…

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