STATISTICS & HYPOTHESIS TESTING Introduction Brand and Type Cost (per serving) Sodium content (mg) Amy's Black Bean 3.03 780 Patio Cheese 1.07 1570 Banquet Cheese 1.28 1500 El Charrito Beef 1.53 1370 Patio Beef 1.05 1700 Banquet Beef 1.27 1330 Healthy Choice Chicken 2.34 440 Lean Cuisine Chicken 2.47 520 Weight Watchers Chicken 2.09 660 Introduction of Descriptive Statistics Descriptive statistics provides description to the data set by summarizing the data. Descriptive statistics normally provide description of data both in numerical and graphical terms. Mean, Median, Mode, Range, SD (Standard Deviation), and variance are included in common descriptive statistics. Descriptive Statistics Mean Cost = $1.792 Mean Sodium= 1096.6 Median Cost= $1.53 Median Sodium= 1330 Range Cost= $1.98 Range Sodium= 1,260 Inferential Statistics Inferential Statistics Explanation of how the inferential statistical analysis would help the understanding the nature of data Null Hypothesis Testing The null hypothesis, designated as H0, is the hypothesis generally the sample observations gets purely based on chance. H0, the null hypothesis, is crucial aspectpart of the research design and is always tested even it’s indirect. Ex: The Mean value for enchiladas in the given pack of the brand equals to -3. Null Hypothesis TestingIdentification of the null hypothesis (H0) and the alternate hypothesis (HA). The value must be small, generally lower than 10%. It is vital for considering the consequences of both errors types. Choose the test statistic and find out its value from the given sample data. Comparing the observed value with that of critical value obtained for the chosen sample Decision is made. Future Implications of the research Difference between Descriptive Statistics & Inferential Statistics Descriptive statistics provides description to the data of the study. Inferential statistics are gives what the pattern is and gives a clear picture through probability. Summary Descriptive statistics summarizes the data while inferential statistics is used to establish the relation and compare between the variables with wide range of conditions . (Web Center for Social Research Methods, 2006). Future Implications of the research Contd. Follow-up Studies (Descriptive Statistics) What is the hypertension rate among low-income populations due to higher sodium levels in low-cost foods? (Inferential Statistics) What other factors contribute towards hypertension in low-income populations other than high sodium levels in low-cost food? Future Implications of the research Contd. Null Hypothesis • In general, hypertension is more prevalent in the low-income individuals. Conclusion As per the data obtained from Consumer Reports (March,2000), lower the cost of pre-packaged enchiladas, higher the sodium level. References National Atlas of the United States. (2011). Understanding Statistics. Retrieved from http://www.nationalatlas.gov/articles/mapping/a_statistics.html Statistical Inference. (2011). Retrieved from http://www.businessdictionary.com Web Center for Social Research Methods. (2006).Foundations. Retrieved from http://www.socialresearchmethods.net/kb/index.php