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# Population Means and Proportions (Essay Sample)

Instructions:

Having developed the null and alternative hypotheses in the previous module, write a 2-3 page essay in which you:
1) Identify a test statistic to help you assess the evidence against the null hypothesis you developed in the previous module.
2) Explain why you have chosen the specific test statistic. Include in your discussion description of the test statistic.
3) Summarize your findings by creating a summary graph in which you display your data.
4) Discuss the total number of measurements (sample size), the possibility for measurement error, and whether it is large enough to paint an accurate picture.
Norman, G., and Streiner, D. (2008). Comparing Two Groups: the t-Test. Biostatistics The Bare Essentials. 3rd Edition. BC Decker Inc. PMPH USA, Ltd. Shelton, CT. eISBN: 9781607950585 pISBN: 9781550093476. Available in Ebrary, accessed via Trident’s online library.
Norman, G., and Streiner, D. (2008). Chapter the Twenty First: Tests of Significance for Categorical Frequency Data (pages 235-241). In: Biostatistics The Bare Essentials. 3rd Edition. BC Decker Inc. PMPH USA, Ltd. Shelton, CT. eISBN: 9781607950585 pISBN: 9781550093476. Available in Ebrary, accessed via Trident’s online library.
Peat, J. and Barton, B. (2008). Chapter 6: Continuous Data Analyses: Correlation and Regression. Medical Statistics and Critical Appraisal. Wiley. Chichester, England. Available in Ebrary, accessed via Trident’s online library. *Please note that you only need to read the first section on correlation; the section on regression is an advanced topic beyond the scope of this course.

source..
Content:

Population Means and Proportions
Dawn Gallegos
BHS 220
Module 5
Dr. Ogbochi McKinney
8 June 2015
Test statistic and null hypothesis
Null hypothesis: H0: Physical exercises do no result to weight loss and physical fitness
Alternative hypothesis: H1: Physical exercises are associated with weight loss and improved physical fitness.
The hypothesis tests will focus on the 15 observations being nine and six observations for light to moderate intensity physical activities and vigorous intensity physical activities respectively. If the data is normally distributed, then it is expected that it is possible to determine whether to reject or not reject the null hypothesis. The student t- statistic can be used as the number of observations is less than 30. There is a need to focus on the standard deviation and differences in the means when using the student t-test test (Norman & Streiner, 2008). Even though, it is not possible to determine whether the calories lost result in weight loss, the analysis will show whether the samples are from the same population. There is an assumption that vigorous intensity physical activities result in higher weight loss since more calories are burned. At the same time, physical exercises also cause more calories to burn compared to the non-intervention programs where there is no exercise. The t-statistic further compares the mean and standard deviation of the two samples. While focusing on the correlation between variables, the sample size and normal distribution are taken into consideration (Peat &Barton, 2008).
Test statistic
The main difference between the two recorded data is that the intensity o...
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