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HYPOTHESIS TESTING FOR DIFFERENCES BETWEEN GROUPS
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Hypothesis Testing for Differences Between Groups Capella University Data Analysis for Health Care Decisions MHA Hypothesis Testing for Differences Between Groups Hypothesis testing is the process of determining from a sample whether something could be true of a population in other words, inferring from a sample that may be true in a population (Kros & Rosenthal, 2016). In this assignment, an investor needs to make a decision on whether to acquire one of two medical clinics based on their productivity, as measured by the total number of visits per month. A t test will be utilized to assess whether a value found from a sample could have come from a population in which a hypothesized value is true (Kros & Rosenthal, 2016). Hypothesis testing, will determine if p is less than 0.05 (alpha) or if p is greater than 0.05 (alpha). The determination will be based off of if the results are significant or non-significant. According to Gallo (2016), statistical significance helps quantify whether a result is likely due to chance or to some factor of interest. When a finding is significant, it simply means you can feel confident that it is real. For significant results, if the p value is less than 0.05 you would then reject the null hypothesis. For a non-significant result, the p value would be greater than 0.05, resulting in not rejecting the null hypothesis. A null hypothesis proposes no differences between variables of a population. Generate hypothesis In order to reach statistical decisions, broad statements or hypotheses are formed about the probability distribution of the population. Hypothesis testing is the formal statistical process used to evaluate the probability or likelihood a hypothesis is true (Frey, 2018). The investor will
generate a hypothesis based on the average total number of visits per month by assuming that the average total number of visits per month of clinic one is greater than clinic two and the alternate hypothesis is the average total number of visits per month of clinic one is less than clinic two. Appropriate Statistical Test In order to help guide an investor on making a decision on whether to acquire one of the two medical clinics based on their productivity, as measured by the total number of visits per month, it is imperative to perform a statistical analysis of productivity data. A statistical analysis was completed on clinics 1 and clinics 2 visits per month and is displayed below. To determine the appropriate t test to perform, the calculations of the clinics were determined by the sum of clinic one 12,432 and the sum of clinic two 14,503 which presented unequal variances of two samples. This determining the use of a t test with two samples assuming unequal variances. Interpret Appropriate Statistical Test Review off of the t test results, by utilizing the two sample assuming unequal variances, the average mean of clinic one is 124.32 with a variance of 2188 and the average of clinic two is 145.03 with a variance of 1582 which included 100 observations. The results of a one-tail t test were 0.0004 which is statistically significant along with the results from a two-tail t test were 0.0009 (p-value) as well being statistically significant. A one-tail test is a test in which the null hypothesis can be rejected only in one end of the normal distribution and a two-tailed test can be at either end of the continuum of possible t values (Kros & Rosenthal, 2016). Based off of the standard acceptance of 0.05, both tests imply that since they are less than the alpha of 0.05, they are both statistically significant and there is not a significant difference in the total number of visits per month between clinic one and clinic 2 rejecting the null hypothesis.