Which of the following conclusions is supported by the statistical evidence? Fail to Reject H0; conclude that there is a difference in the proportion of marketing majors who would turn in the $100 bill relative to finance majors Fail to Reject HO; conclude that marketing and finance majors are equally likely to turn in the $100 bill Reject HO; conclude that marketing and finance majors are equally likely to turn in the $100 bill Reject HO; conclude that there is a difference in the proportion of marketing majors who would turn in the $100 bill relative to finance majors
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- Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 173 156 122 128 99 81 35 22 22 84 Historic Debt per Capita 141 138 89 116 58 67 34 32 44 74 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 24 16 25 197 183 141 127 109 77 Historic Debt per Capita 25 11 17 21 107 154 149 119 116 76 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.01 level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the…4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. 4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. Table 1. Contingency Table Male Female Favor Not in favor 88 39 46 92 Table 2. Analysis Result Value df . Sig. (2-sided) Stat 17.922 1 .000 c. What statistical tool was used? d. Discuss the statistical result using the APA formatThe article "Freedom of What?" (Associated Press, February 1, 2005) described a study in which high school students and high school teachers were asked whether they agreed with the following statement: "Students should be allowed to report controversial issues in their student newspapers without the approval of school authorities." Researchers hypothesized that the long-run proportion of high school teachers who would agree with the statement would differ from the long-run proportion of high school students who would agree. Two random samples - 8,000 high school teachers and 10,000 high school students were selected from high schools in the U.S. It was reported that 39% of the teachers surveyed and 58% of the students surveyed agreed with the statement. A simulated null distribution of 1,000 differences in proportions created by using the Two Proportion applet is shown below. Total shuffles - 1000 251 Number of shuffles 20 Mean -0.000 SD-0.007 LUL 0.024 -0.026 -0,016 -0.006 0.004 0.014…
- The president of a mid-sized state university has proposed lowering tuition rates in order to increase the school’s overall graduation rates (meaning she expects the two measures will be negatively associated with each other). She collects data on other similar universities, rating universities as “high” on tuition (above-average tuition costs) or “low” (below average tuition), as well as on their proportion of students who graduate in six years (categorizing with those graduating more than half of their students as “high” and those graduating fewer than half as “low”). A bivariate table with these data is below. Calculate the gamma and then write a sentence or two interpreting what it suggests about the relationship. Is there support for the president’s hypothesis? Graduation Rate by Tuition Rate Tuition Rate Graduation Rate Low High Totals Low 52 40 92 High 80 125 205 Totals 132 165 297The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During each of the past 15 years, a polling organization has surveyed americans about their exercise habits. In the most recent of these polls, slightly over half of all American adults reported that they exercise for 30 or more minutes at least three times per week. The following data show the percentages of adults who reported that they exercise for 30 or more minutes at least three times per week during each of the 15 years of this study. Year Percentage of Adults Who Exercise 30 or more minutes at least three times per week 1 41.1 2 45 3 47.2 4 45.6 5 46.5 6 44.4 7 47.7 8 49.9 9 48 10 49 11 50 12 52.2 13 50.7 14 54.5 15 52.3 use simple linear regression to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and…Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings ratio. High P/E ratios may indicate a stock is overpriced. For the S&P Stock Index of all major stocks, the mean P/E ratio is ? = 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio sample mean of x = 17.7, with sample standard deviation s = 5.2. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? = 19.4; H1: ? < 19.4H0: ? ≠ 19.4; H1: ? = 19.4 H0: ? = 19.4; H1: ? ≠ 19.4H0: ?…
- Which of the following is the correct decision and conclusion based on the result? a. Decision: Fail to reject the null hypothesis Conclusion: There is a significant correlation between the variables. Thus, as COVID cases increases, the day also increases. b. Decision: Reject the null hypothesis Conclusion: There is a significant correlation between the variables. Thus, as the day goes by, daily COVID cases increases. c. Decision: Reject the null hypothesis Conclusion: There is no significant correlation between the variables. Thus, as the day goes by, daily COVID cases decreases. d. Decision: Fail to reject the null hypothesis Conclusion: There is no significant correlation between the variables. Thus, as the day goes by, daily COVID cases will be the same.4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. 4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. Table 1. Contingency Table Male Female 88 Favor Not in favor 39 46 92 Table 2. Analysis Result Value df Sig. (2-sided) Stat 17.922 1 .000 a. How many respondents are involved in the study? b. What are the measurement levels of gender and attitude?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
- The Knight Foundation investigates whether high school students agreed with the statement that people should be allowed to burn or deface the American flag as a political statement. This question was asked in a survey of a representative sample of high school students in 2004 and also in a survey of a representative sample of high school students in 2014. Suppose that the sample size was 1000 in each of the two years. Data consistent with summary values given in the paper are summarized in the accompanying table. Is there convincing evidence that the proportions falling into each of the response categories were not the same for high school students in 2004 and 2014?Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings ratio. High P/E ratios may indicate a stock is overpriced. For the S&P Stock Index of all major stocks, the mean P/E ratio is ? = 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio sample mean of x = 17.8, with sample standard deviation s = 5.8. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index? Use ? = 0.05. I need help with sketching (d) and (e)A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that the student enrolls in upon entering the sixth grade. The researcher uses SAT data for the same group of students, grouping students by college readiness. The data is displayed below. College+Ready Likely+College+Ready Not+College+Ready Grade-level 20 96 85 Honors 48 134 101 Accelerated 8 23 16 Do the data suggest that sixth grade math enrollment and SAT college readiness are related? Use a 5% level of significance. a. Calculate the p-value (Rounded to 4 or more decimal places):____________ b. If the two variables were independent, what is the expected number of students who entered sixth grade in an honors math class and who obtained college ready designation based on the SAT?______________Rounded to 2 decimal places) c. What is the contribution to the chi-squared test statistic for this cell (from part…