In: Statistics and Probability
1. For the next two questions use the following information to determine your answers. A random sample of 230 workers at a company were surveyed about their satisfaction with their life. The answer about their satisfaction (not, somewhat, very) was recorded along with their annual wages (1 = $20K - $35K, 2 = $35K - $50K, 3 = $50K - $75K, 4 = $75K - $90K). Below is the gathered data.
Assuming there’s no relationship between income and life satisfaction, how many people who earn between $20K - $35K would you expect to be Not Satisfied with life? Please round to the second decimal place.
$20K-$35K | $35K-$50K | $50K-$75K | $75K-$90K | Total | |
Very Satisfied | 13 | 11 | 19 | 15 | 58 |
Somewhat Satisfied | 29 | 31 | 28 | 12 | 100 |
Not Satisfied | 34 | 20 | 10 | 8 | 72 |
Total | 76 | 62 | 57 | 35 | 230 |
Pearson's Chi-square test | |||||
X-squared = 20.0043 | df = 6 | p_value < 0.001 |
2. Based on the information above, determine if you should accept or reject the null hypothesis that there is no relationship between income and life satisfaction when alpha = 0.05? Please provide detailed explanation for question 2