- Observed Expected Male One Male Two Male Three Female One Female Two Female Three Totals Level 1 20 000 Up To 4 1 (18.43 KiB) Viewed 18 times
- Observed Expected Male One Male Two Male Three Female One Female Two Female Three Totals Level 1 20 000 Up To 4 2 (41.65 KiB) Viewed 18 times
1. A random sample of 150 individuals was surveyed, and the individuals were asked to indicate their yearly incomes and their gender. The results are shown below. At the 0.05 level test to see whether income and gender are independent. (12 pts) Male Female Totals Level 1: $20,000 up to $40,000 10 30 40 Level 2: S40,000 up to $60,000 35 15 SO Level 3: 560,000 up to $80,000 15 45 60 Totals 60 90 150 Observed Expected Male, one 10 Male, two 35 Male, three 15 Female, one 30 Female, two 15 Female, three 45 Totals 150 A. How many females were in the second income level? Overall, how many of the survey participants were in third income level? (1 pt, 0.5 pts each) B. State the appropriate null and alternative hypotheses for a test of independence (4 pts) C. Calculate the value of the test statistic. You may use the table above or use the table in the Excel file(4 pts) D. What is the p-value: (1 pt) E. If you reject the null, you are concluding that (1 pt) income and gender are related income and gender are not related F. At the 0.05 level, your decision is to (1 pt) reject the null not reject the null