Choose a question to answer with statistical inference. Pick something you are interested in and pretend you are not limited with money, time or access to research subjects. You may not, however, use a question already posted by another student.

1. State the question and write your null and alternative hypothesis.

2. Describe the population and sample. Also describe the sampling technique (random, stratified, and blocked).

3. Describe how you would measure your test statistic(s) (instruments, surveys)

4. Describe what the type I and type II errors could be in this context

Below is an example my teacher give of his own

For example, maybe you have two friends. One is an athletic trainer and the other is a dietician. They get in to an argument over the most effective way to lose weight. The trainer favors exercise and the dietician favors diet. You want test which method is most effective in losing weight (for those of you screaming that it is a combination of exercise and diet, hold on to your horses, we'll get back to this in a later discussion).

Question: Which method, on its own, is the most effective way to lose weight?

Hypotheses: For exercise, let

Be the population mean weight lost through exercise and be the population mean weight lost through diet. In this case, my hypothesis are

In other words, the claim for this test would be that weight lost through exercise is significantly greater than the weight lost through dieting.

Population: U.S. adults ages 25 to 35 years old

Sample: Random sample of 500 men and 500 women ages 25 to 35 years old. Men are blocked in to two groups: diet only and exercise only. Women are blocked similarly.

Instrument: Sample participants are required to be weighed each week over a year. Results are compared by block and by gender.

Errors: Type I error would be concluding that exercise is more effective than diet when, in fact, it isn't (because you rejected a true null hypothesis). Type II error would be concluding that exercise isn't significantly more effective than dieting when, in fact, it is (because you failed to reject a false null hypothesis).

Side note from student: And please write it clearly so I can understand what is being said , last time someone help me with some problems and i couldn't read the handwriting.

The broken text isn’t something to worry about. The information above and the question from 1 to 4 is what he provided to us. He wants us to choose a question and answer it with statistic inference using strategy such as random sample, etc. That is all the information he give us i posted.