Introduction to statistics

DRAWING INFERENCES ABOUT POPULATION MEANS AND PROPORTIONS

A researcher conducts a test on the effectiveness of a cholesterol treatment on 114 total subjects. Assuming the tails of distributions are normal distribution, is there evidence that the treatment is effective?

Cholesterol Decreased No Cholesterol Decrease. Total

Treatment. 38. 18. 56

No treatment 30. 28. 58

Total 68. 46. 114

Submit a (2-3 pages) paper before the end of the module that:

Briefly describe the procedure for testing hypotheses.
Formulate the null and alternative hypotheses.
Determine the test statistic that you will use.
Calculate the p-value. Show your work.
Discuss whether there is enough evidence to reject the null hypothesis
Required Reading and Resources

Cook, A., Netuveli, G., & Sheikh, A. (2004). Chapters 5: Study design, Chapter 6: Combining students, Chapter 7: Managing data. In Basic skills in statistics: A guide for healthcare professionals(pp. 53-86). London, GBR: Class Publishing. eISBN: 9781859591291.

Norman, G. R., & Streiner, D. L. (2014). Section the second: Analysis of variance. Chapter 7: Comparing two groups. In Biostatistics: The bare essentials [4th ed., e-Book]. Shelton, Connecticut: PMPH-USA, Ltd. eISBN-13: 978-1-60795-279-4. Available in the Trident Online Library EBSCO eBook Collection.

Norman, G. R., & Streiner, D. L. (2014). Section the third: Regression and correlation. Chapter 13: Simple regression and correlation. In Biostatistics: The bare essentials [4th ed., e-Book]. Shelton, Connecticut: PMPH-USA, Ltd. eISBN-13: 978-1-60795-279-4. Available in the Trident Online Library EBSCO eBook Collection.

Norman, G. R., & Streiner, D. L. (2014). Section the fourth: Non-parametric statistics. Chapter 21: Tests of significance for categorical frequency data. In Biostatistics: The bare essentials [4th ed., e-Book]. Shelton, Connecticut: PMPH-USA, Ltd. eISBN-13: 978-1-60795-279-4. Available in the Trident Online Library EBSCO eBook Collection.

Additional Reading and Resources (Optional)

Bozeman Science (2011, November 13). Chi-squared test

. Retrieved from

Calvert, J. (2005). 2 by 2 contingency tables. Retrieved from http://mysite.du.edu/~jcalvert/econ/twobytwo.htm

McDonald, J. (2009). Chi-square test for goodness-of-fit. In Handbook of biological statistics[2nd ed.]. Sparky House Publishing: Baltimore, Maryland. Retrieved from http://www.biostathandbook.com/chigof.html

McDonald, J. (2009). Chi-square test of independence. In Handbook of biological statistics [2nd ed.]. Sparky House Publishing: Baltimore, Maryland. Retrieved from http://www.biostathandbook.com/chiind.html

Trochim, W. (2006). The t-test. Research Methods Knowledge Base. Retrieved from http://www.socialresearchmethods.net/kb/stat_t.php

Solution Preview

QUESTION 1
Firstly, to conduct any hypotheses test, one must state both the null and alternative hypotheses, then you need to understand the type of test that is required to conduct that specific hypothesis test.

(420 words)