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A Pew Research study in April and May of 2013 asked single American adults whether they have ever broken up with someone by e-mail, text,
- A Pew Research study in April and May of 2013 asked single American adults whether they have ever broken up with someone by e-mail, text, or online message. There are 290 females and 360 males that participated in the study. As a result, 52 of 290 females have broken up with someone by digital means, and 55 of 360 males have broken up with someone by digital means. We want to investigate whether men and women are equally likely to break up with someone by digital means, or there is a difference.
- (5 pts) Organize the counts in a well labeled 2x2 table properly.
| Female | Male | Total |
Has broken up with someone by digital means |
|
|
|
Has not broken up with someone by digital means |
|
|
|
Total |
|
|
|
- (1 pts) Is this an experiment or an observational study?
- (1 pts) What are the observational/experimental units?
- (4 pts) Identify the explanatory variable and the response variable, and also identify each of them as categorical or quantitative.
- (1 pts) Did this study use random sampling, random assignment, both, or neither?
- (1 pts) Can you draw a cause-and-effect conclusion between the explanatory variable and the response variable?
- (4 pts) There are two long-run proportions we are interested in. Describe each of them by words and give them symbols.
- (4 pts) Write the null and alternative hypothesis in symbols.
- (3 pts) Calculate the conditional proportions and give them symbols.
- (1 pts) Calculate the value of statistic.
- (1 pts) Calculate the relative risk.
- (2 pts) Can we use theory-based approach? Explain.
- (6 pts) Use theory-based approach to calculate the z statistic. Show all your work.
- (2 pts) Based on the z statistic you calculated, do we have strong evidence against the null hypothesis?
- (5 pts) Calculate the 95% confidence interval. Show all your work.
- (3 pts) Interpret the 95% confidence interval you calculated.
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