Question

In: Statistics and Probability

The following table gives information about 500 people according to their smoking status and gender and...

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?

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