Question

ASAP HELP!!

Frequencies of Majors and Age Science Humanities Business Under 25 85 82 82 25 and Older 99 88 What can be concluded at the Q = 0.05 significance level? Other 56 31 121 a. What is the correct statistical test to use? O Paired t-test Goodness-of-Fit Homogeneity O Independence b. What are the null and alternative hypotheses? H: The distribution of college major is the same for each age. College major and age are independent. The distribution of college major is not the same for each age. O College major and age are dependent. H: The distribution of college major is the same for each age. The distribution of college major is not the same for each age. College major and age are independent. College major and age are dependent. c. The test statistic for this data = (Please round your answer to three decimal places.) d. The p-value for this sample (Please round your answer to four decimal places.) e. The p-value is Select an answer va

Answer 1

The chi-square statistic, p-value and statement of significance appear beneath the table. Blue means you're dealing with dependent variables; red, independent. Category 1 85 (87.14) (0.05) 99 (96.86) (0.05) Results Category 3 82 (80.51) 10.03/ 88 (89.49) 10.02) Category 2 82 (96.14) 12.08) 121 (106.86) (1.87/ Group 1 Group 2 Category 4 56 (41.20) 15317 31 (45.80) 14.78/ Row Totals 305 339 Column Totals 184 203 170 87 644 (Grand Total) The chi-square statistic is 14.198. The p-value is .002648. The result is significant at p<.05.

Independence Test, b) Testing null & alternative hypothesis. Hol College major fage are independent. ts Hi & College major & Age are dependent Test statistic is X 14.198

dj p-value = 0.0026 es p-value is 0.0026 < <= o. of f Reject the null hypothesis. g) conclusion & There is sufficient evidence to conclude that the college major & age are dependent.