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Hi, pls need help with this question Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to
Hi, pls need help with this question
Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness (Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average). The table of the observations is presented below.
Income | Not too happy | Pretty happy | Very happy | Total |
Above Average | 26 | 233 | 164 | 423 |
Average | 117 | 473 | 293 | 883 |
Below Average | 172 | 383 | 132 | 687 |
Total | 315 | 1089 | 589 | 1993 |
- (2 Points) Identify which variable is the response and which is the explanatory variable.
- (5 Points) What are the null and alternative hypotheses for testing if there is a relationship between level of income and happiness.
- (10 Points) Calculate the chi-square statistic by hand. Make sure to show all the calculations, including the expected counts.
- (3 points) Which cell contribute the most to the overall chi-square test statistic?
- (4 points Points) Find the p-value and state your conclusion based on a significance level of 5%. Be sure to include the degrees of freedom.
- (3 Points) Is it possible to use the Z-test for two proportions in this case? Explain.
- (3 points) Calculate the relative risk of not being happy for those who earn below average to those earn above average.
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