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In: Statistics and Probability

1. For the next two questions use the following information to determine your answers. A random...

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

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