Question: Does a larger proportion of female students eat breakfast daily than do male students? Statistics students surveyed a random sample of students at their college and one of the questions asked was whether they eat breakfast every day. 66 female students were surveyed and 41 said they eat breakfast every day, while 31 male students were surveyed and 25 of them said they eat breakfast every day.

1. What is explanatory variable? Is it categorical or quantitative? ( 2 pts )
2. What is response variable? Is it categorical or quantitative? ( 2 pts )
3. Is this study an observational study or experiment? Why? ( 2 pts )
4. Draw a 2x2 table. (Response variable in row, Explanatory variable in column) ( 2 pts )
5. Conditional proportion: What proportion of females ate a daily breakfast? What proportion of males ate a daily breakfast? ( 2 pts )
6. Calculate difference and relative risk of conditional proportion between female students and male students. ( 2 pts )
7. In this case, whether it is valid to use T heory-based approach? Why? ( 2 pts )
   
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8. Calculate standardized statistic. ( 2 pts )
9. Calculate 95% confidence interval ( 2 pts )
10. Based on your standardized statistic and 95% confidence interval, what decision you make. Also interpret your decision into context. ( 2 pts )
11. Can you generalize your conclusion to the whole college? Why? ( 2 pts )

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