1 Select one answer. 10 points Rainfall and corn crop yield reported for the 38 years from 1890 through 1927 give us the scatterplot shown below with an r = 0.0426. Yield is the number of ears of corn measured in metric tons per hectare, rainfall is in inches. Based on corn crop yield from Ezekiel, M. and K. A. Fox. (1959). Methods of Correlation and Regression Analysis. Wiley: New York. The plot shows a positive linear relationship between the inches of rainfall and the size of the corn yield. Which of the following is an appropriate interpretation of the relationship in the data shown above? The growth rate of corn is positively affected by more rainfall. The more rain, the lower the yield of corn. Rainfall seems to have a positive effect on the yield of corn. Question 2 Select one answer. 10 points The mortality rate from melanoma (skin cancer) during the 1950s was recorded for each of the 48 contiguous United States, plus Washington, D.C. (as reported by Fisher and Van Belle (1993) and found athttp://www.stat.psu.edu/~lsimon/stat501wc/sp05/data/ The following is the scatterplot of the data: The plot shows a negative linear relationship between the latitude of the state and melanoma mortality rate. Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this observed linear relationship between latitude and melanoma mortality rate. Which of the following are the appropriate null and alternative hypotheses? H0: Melanoma mortality rate is related to latitude. Ha: Melanoma mortality rate is not related to latitude. H0: Melanoma mortality rate is not related to latitude. Ha: Melanoma mortality rate is related to latitude. H0: Melanoma mortality rate is linearly related to latitude. Ha: Melanoma mortality rate is not linearly related to latitude. H0: Melanoma mortality rate is not linearly related to latitude. Ha: Melanoma mortality rate is linearly related to latitude. Question 3 Select one answer. 10 points 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.) Gender Race Males Females Both White (Expected) 514 (508.32) 654 (689.68) 1198 Black (Expected) 56 (70.01) 109 (94.99) 165 Hispanic (Expected) 55 (59.40) 85 (80.60) 140 Total 625 848 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 The following is the (edited) output of the chi-squared test in this case: Expected Values: male female total white 495.58724 672.41276 1168 black 70.01018 94.98982 165 hispani c 59.40258 80.59742 140 X2 = 6.6251, df = 2, p-value = 0.03642 Using a significance level of 5%, based on the output, which of the following is an appropriate conclusion? 1. The data provide sufficient evidence to conclude that race and gender in the awarding of bachelor's degrees are independent. 2. The data do not provide sufficient evidence to conclude that race and gender in the awarding of bachelor's degrees are independent. 3. The data provide sufficient evidence to conclude that race and gender in the awarding of bachelor's degrees are related. 4. The data do not provide sufficient evidence to conclude that race and gender in the awarding of bachelor's degrees are related. Question 4 Select one answer. 10 points 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.) Gender Race Males Female s Both White 514 654 1198 Black 56 109 165 Hispanic 55 85 140 Total 625 848 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 Rounding to the nearest thousand, what is the expected count of white males? 508 6 625 514 Question 5 Select all that apply. 10 points 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.) Gender Race Males Female s White 514 654 1198 Black 56 109 165 Hispanic 55 85 140 Total 625 848 1473 Both 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 The expected count of Hispanic males receiving a bachelor's degree is the number of students that you would expect to see assuming that which of the following is correct? Check all that apply. The conditions that allow us to safely use the chi- squared procedure are met. Race and gender are related. The sample is large enough. The null hypothesis of the chi-squared test for independence in this case is true. Question 6 Select one answer. 10 points 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.) Gender Race Males Females Both White (Expected) 514 (508.32) 654 (689.68) 1198 Black (Expected) 56 (70.01) 109 (94.99) 165 Hispanic (Expected) 55 (59.40) 85 (80.60) 140 Total 625 848 1473 Source: \"Degrees cConferred by Sex and Race,\" National Center for Education Statistics, U.S. Department of Education. https://nces.ed.gov/fastfacts/display.asp?id=72 What is the contribution of Hispanic females to the chi-square teststatistic? 1. 80.60 2. 60.71 3. 4.40 4. 0.24