In a study of high-achieving high school graduates, the authors of a report surveyed 832 high school graduates who were considered "academic superstars" and 439 graduates who were considered "solid performers." One question on the survey asked the distance from their home to the college they attended. Assuming it is reasonable to regard these two samples as random samples of academic superstars and solid performers nationwide, use the accompanying data to determine if it is reasonable to conclude that the distribution of responses over the distance from home categories is not the same for academic superstars and solid performers. Use a = 0.05. Distance of College from Home (in miles) Less than 40 200 to 399 40 to 100 to 400 or Student Group 99 199 More Academic Superstars 158 157 141 150 226 Solid Performers 105 96 83 67 88 State the null and alternative hypotheses. O Hạ: Student group and distance of college from home are not independent. H: Student group and distance of college from home are independent. O Ho: The proportions falling into the distance categories are the same for the two student groups. H,: The proportions falling into the distance categories are not all the same for the two student groups. O Hạ: The proportions falling into the distance categories are not all the same for the two student groups. H: The proportions falling into the distance categories are the same for the two student groups. O Hạ: Student group and distance of college from home are independent. H: Student group and distance of college from home are not independent. Calculate the test statistic. (Round your answer to two decimal places.) x² = 1.467120 What is the P-value for the test? (Round your answer to four decimal places.) P-value = 00218 What can you conclude? O Do not reject Hg. There is not enough evidence to conclude that there is an association between student group and distance of college from home. O Reject Hg. There is convincing evidence to conclude that there is an association between student group and distance of college from home. O Reject Hg. There is convincing evidence to conclude that the proportions falling into the distance categories are not all the same for the two student groups. O Do not reject Hg. There is not enough evidence to conclude that the proportions falling into the distance categories are not all the same for the two student groups.

In a study of high-achieving high school graduates, the authors of a report surveyed 832 high school graduates who were considered "academic superstars" and 439 graduates who were considered "solid performers." One question on the survey asked the distance from their home to the college they attended. Assuming it is reasonable to regard these two samples as random samples of academic superstars and solid performers nationwide, use the accompanying data to determine if it is reasonable to conclude that the distribution of responses over the distance from home categories is not the same for academic superstars and solid performers. Use a = 0.05. Distance of College from Home (in miles) Less than 40 200 to 399 40 to 100 to 400 or Student Group 99 199 More Academic Superstars 158 157 141 150 226 Solid Performers 105 96 83 67 88 State the null and alternative hypotheses. O Hạ: Student group and distance of college from home are not independent. H: Student group and distance of college from home are independent. O Ho: The proportions falling into the distance categories are the same for the two student groups. H,: The proportions falling into the distance categories are not all the same for the two student groups. O Hạ: The proportions falling into the distance categories are not all the same for the two student groups. H: The proportions falling into the distance categories are the same for the two student groups. O Hạ: Student group and distance of college from home are independent. H: Student group and distance of college from home are not independent. Calculate the test statistic. (Round your answer to two decimal places.) x² = 1.467120 What is the P-value for the test? (Round your answer to four decimal places.) P-value = 00218 What can you conclude? O Do not reject Hg. There is not enough evidence to conclude that there is an association between student group and distance of college from home. O Reject Hg. There is convincing evidence to conclude that there is an association between student group and distance of college from home. O Reject Hg. There is convincing evidence to conclude that the proportions falling into the distance categories are not all the same for the two student groups. O Do not reject Hg. There is not enough evidence to conclude that the proportions falling into the distance categories are not all the same for the two student groups.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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