In: Statistics and Probability
The following table gives information about 500 people according to their smoking status and gender and opinion on a tax reform bill. It is of interest to know if the gender and smoking status are associated.
Non-Smoker | Regular Smoker | Occasional | total | |
Male | 138 | 83 | 64 | 285 |
Female | 64 | 67 | 84 | 215 |
Total | 202 | 150 | 148 | 500 |
a. Write the relevant null and alternative hypotheses
b. If the calculated Chi-Square test statistic is 22.153, find the corresponding p-value
c. Write your conclusion based on the p-value calculated above
d. What is the probability that a randomly selected person is a non-smoker?
e. What is the probability that a randomly selected person is not a regular smoker?
f. What is the probability that a randomly selected person is either a male or a non-smoker?
g. What is the probability that a randomly selected person is a regular smoker if we know that the person chosen is a female?