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:
- Setup Ho and Ha.
- Identify the nature of the sampling distribution curve and specify the appropriate test statistic.
- Determine if the hypothesis test is one or two tailed.
- 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.
- State the decision rule for rejecting Ho.
- Compute the observed value for the test statistic from the sample data.
- Using the specified decision rule either reject or fail to reject Ho.