Sleep is important. Imagine thatprevious researcher established that one third of college students classify themselves as fatigued during the semester, and you want to create a public health campaign to raise awareness about the importance of getting enough rest. You know this will be a long term effort, but after the first 2 months of work you decide to test whether you are seeing a statistically significant decrease in the percent of people self identifying as fatigued. You sample 89 students and find that 23 of them are fatigued.

1.

What is your alternative hypothesis?

H1: p < .333

H1: p > .258

H1: p = .333

H1: p = .258

2.

What valueisthe average distance from 33.3%thatyoud expect to see across all the possible sampleproportionsfrom all possible samples of size 89, if the truth is that the population fatigue level was still 33.3%?

.046 or 4.6% pts

.258 or 25.8%

-1.54

1.54

3.

ow many standard deviations away from 33.3% is your sample?

-1.54

.258 or 25.8%

.046 or 4.6% pts

.333

4.

What is your conclusion?

Fail to reject the null. There has not been a statistically significant decrease in the proportion of fatigued college students.

Reject the null. There has not been a statistically significant decrease in the proportion of fatigued college students.

Reject the null. There has been a statistically significant decrease in the proportion of fatigued college students.

Fail to reject the null. There has been a statistically significant decrease in the proportion of fatigued college students.

5.

What percent of sample proportions would you expect to be as far or further below 33.3% as your sample proportion if 33.3% still really was the true population proportion of fatigued college students?

6.18%

93.82%

33.3%

25.8%