I random sample of 500 students at Barkley University has 300 males and 200 females. Of the males 150 were smokers. Of the females 75 were smokers. Is there a relationship between gender and smoking (95% confidence level)? What are Ho and Ha and is this a one or two tailed test?

Answer each of these steps for full credit:

1. Setup Ho and Ha.
2. Identify the nature of the sampling distribution curve and specify the appropriate test statistic.
3. Determine if the hypothesis test is one or two tailed.
4. Take specified significance level into account and determine the critical value (two for a two tailed test) for the test statistic from the appropriate statistical table.
5. State the decision rule for rejecting Ho.
6. Compute the observed value for the test statistic from the sample data.
7. Using the specified decision rule either reject or fail to reject Ho.