STATS 250 Week 12 Final Exam 2023 – Questions and Answers Rated 100%

STATS 250 Week 12 Final Exam 2023 – Questions and Answers Rated 100%. Favorite Subject Area – A random sample of 300 students were asked which of three areas he or she preferretaking liberal arts courses, 1 = Math/Science, 2 = Social Science, or 3 = Humanities. The data were further broken down to compare the results by gender. The results are provided in the following table. Preferred Area for Liberal Arts Courses Gender 1 = Math/Science 2 = Social Science 3 = Humanities Total Male Female Total a. The researcher set out to assess if the distribution of the preferred area for liberal arts courses is the same for the two populations of all male students versus all female students. What is the appropriate chi-square test to perform? [1] Circle one: goodness-of-fit homogeneity independence b. Complete the sentence by providing the appropriate percentages: [2] The results show that overall 24% of the surveyed students preferred the Math/Science area; however focusing on just the male students, the percent preferring the Math/Science area was 37/122 = 0.3033  30.3% and focusing on just the female students, the percent preferring the Math/Science area was 35/178 = 0.1966  19.7% c. If the distribution of the preferred area for liberal arts courses is the same for the two populations of all malestudents versus all female students, how many male students would you have expected to prefer the Math/Science area? Show your work. [2] (122 x 72) / 300 = 29.28 Final answer: ____29.28______ d. The data were entered into SPSS and part of the output is given below which include the p-value. Chi-Square Tests Value df Asymp. Sig. Pearson Chi-Square 4.604 2 0.1001 [3] Provide a well-labeled sketch showing this p-value  X 2 (2) p-value = 0.1001 4.604 X 2 values e. At a 5% significance level, it appears that the distribution of the preferred area for liberal arts courses … [1] (circle one) is is not the same for the two populations of all male students versus all female students.