Overview: come up with a statistical question about the population of students, collect sample data from students, and analyze the data in an attempt to answer the question.

My Information Statistical question: Do male students prefer an online or on campus class?

Data: data will be collected from at least50 male students

How will data be collected? Male students will take a survey with one question and only a yes or no answer.

Actual data collected: 67 male students completed the survey. 25 male students answered they prefer an online class and 42 male students answered they prefer an on campus class.

I'm having trouble writing up a single sample hypothesis test for a population proportion and determining if the population of is greater than p > 0.5 from my data collected above. I included an example of how it should be written below labeled EXAMPLE, but I am still having trouble with the write up. I was told to do a single sample hypothesis test for a population proportion and determine if the proportion is greater than p > 0.5

What would my claim, H₀ & H₁ be? Would it be: Claim: p > 0.05, H₀: p=50, H₁: p>50 or should I use rather than p? I have a feeling this is not correct, I'm lost when it comes to this part and any help would be greatly appreciative.

DIRECTIONS

#5 - Conclusions

Based on the statistical computations and results of the analysis, you will discuss what your conclusions are in context of the question and your confidence in those conclusions.

#6 - Limitations

All good studies self-reflect and discuss what were possible shortcomings of your research. Consider questions: Could the data collection have been flawed or not representative of your target population? If you collected data at a different time or place might you have gotten different results? Is the data a good fit for the type of analysis used? If you were to replicate the study in the future, would you do anything differently next time?

EXAMPLE of how information should be written Introduction

This study will analyze whether students have a higher pulse rate on average than typical adults, which is an average of 72 bpm. I'm interested in studying this because if they do have a higher pulse rate, it could be an indicator of them being under more stress than the average person, or having worse health than the average person.

Procedure

To conduct this study, I will collect a convenience sample of between 30-60 students that take a college course in the Fall 2015 semester. I will then do a single sample t-test to determine if the sample data collected is significantly different from the population mean of 72 bpm.

Results

The raw sample data can be found in Appendix A at the end of this report.

The sample had the following results: the sample size collected was n = 56 students who had a sample mean pulse rate of 75.5 BPM with a sample standard deviation of 13.3 BPM.

Analysis

I used the T-Test function on a TI-84 graphing calculator to conduct a single sample t-test. The results are below.

The hypotheses were: Claim: > 72

H₀: = 72

H₁: > 72

The test statistic was t = 1.969 which means the probability of getting the sample data by chance if we assume the population of students have a mean of 72 BPM is p = 0.02699.

Conclusion

The conclusion of our test will change depending on the significance level. If we consider a significance level of 0.05, then the sample data is considered unlikely to have occurred by chance. If we consider a significance level of 0.01, then the sample data could be considered expected random variation. Therefore, there is some evidence that suggests students might have a higher pulse rate than the average person, but the evidence is not very conclusive. I don't feel this evidence is conclusive enough to indicate the stress level or health of students. Further studies should be done in order to get a more accurate idea.