In today’s world, we are faced with situations everyday where Statistics can be applied. In general, Statistics is the science of collecting, organizing, and analyzing numerical data. The techniques involved in Statistics are important for the work of many professions, thus the proper preparation and theoretical background of Statistics is valuable for many successful career paths. Marketing campaigns, the realm of gambling, professional sports, the world of business and economics, the political domain, education, and forecasting future occurrences are all areas which fundamentally rely on the use of Statistics. Statistics is a broad subject that branches off into several categories. In particular, Inferential Statistics contains two …show more content…
The distribution of the test statistic under the null-hypothesis is derived from the assumptions identified previously. Common test statistics may follow the following distributions: Normal, Student T, and Chi-Square. This distribution separates the possible values of the estimator into two categories: values for which the null-hypothesis is accepted or rejected. The region for which we accept the null-hypothesis is called the critical region and the area underneath the curve that corresponds to the critical region is known as the level of confidence. Hence, we can develop a confidence interval for which we can see the lowest and highest point of the critical region. Any observed sample mean that lies outside of this confidence interval (outside the critical region) would cause us to reject the null-hypothesis in favor of the alternative hypothesis. The area of the rejection region is known as the level of significance and represents type I error (alpha) corresponding to the probability that a true null-hypothesis is rejected (as opposed to type II error- beta; the probability of accepting a false null-hypothesis). Essentially, hypothesis testing calls for comparing a test statistic to the critical value of the test statistic. If this test statistic is greater than the critical value of the test statistic, we will reject the null hypothesis in favor of the alternative hypothesis. If
• Provide at least two examples or problem situations in which statistics was used or could be used.
Testing allows the p-value that represents the probability showing that results are unlikely to occur by chance. A p-value of 5% or lower is statistically significant. The p value helps in minimizing Type I or Type II errors in the dataset that can often occur when the p value is more than the significance level. The p value can help in stopping the positive and negative correlation between the dataset to reject the null hypothesis and to determine if there is statistical significance in the hypothesis. Understanding the p value is very important in helping researchers to determine the significance of the effect of their experiment and variables for other researchers
(d) In a hypothesis testing, if the p-value is less than the significance level α, we do not have
“Hypothesis testing is a decision-making process for evaluating claims about a population” (Bluman, 2013, p. 398). This process is used to determine if you will accept or reject the hypothesis. The claim is that the bottles contain less than 16 ounces. The null hypothesis is the soda bottles contain 16 ounces. The alternative hypothesis is the bottles contain less than 16 ounces. The significance level will be 0.05. The test method to be used is a t-score. The test statistic is calculated to be -11.24666539 and the P-value is 1.0. The P-value is the probability of observing a sample statistic as extreme as the test statistic, assuming the null hypothesis is true. The T Crit value is 1.69912702. The calculations show there is enough evidence to support the claim that the soda bottles do
The critical value represents the point on the scale of test statistic value in which the null
The LV team is eager to learn what statistical significance is and why it’s an important construct in the study and use of inferential statistics.
Christianity experienced notable change during the Byzantine Era as a result of the fact that new ideas were introduced into the religion and because more and more cultural values from across the world started to pervade it. The religion was very different in Byzantium from how it was in the West principally because a series of Eastern ideas were adopted by Christian leaders. Christianity experienced a different development in the East when compared to the evolution that it experienced in the West. In the centuries lasting between the beginning of the Eastern half of the Roman Empire and the end of a small medieval state Christianity has practically been bombarded with Eastern ideas and with ideas that generally differed from the ones promoted in the West, eventually making it possible for "a distinct system of religious practice and devotion" (Krueger, 1) to emerge.
At 5% level of significance, is there sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different?
When we look around us, we may not recognize that statistics is all around. Before I began to take this course “Statistics for Managers” I was not aware of how statistics actually worked. The first idea that came to my mind about statistics was probability. Not knowing statistics and probability are related because they both determine a possible outcome. Throughout this course I have learned what statistics is and how it works. In this paper, I will describe descriptive and inferential statistics, hypothesis developing and testing, the selection of statistical tests, and how to evaluate statistical results in analyzing data.
So, we should reject the null hypothesis H0. At a 0.05 level of significance level, we conclude that there is a significant difference between the average height for females and the average height for the males.
Source: G. C. Britz, D. W. Emerling, L. B. Hare, R. W. Hoerl, & J. E. Shade. "How to Teach Others to Apply Statistical Thinking." Quality Progress (June 1997): 67--80.
In his 2013 book, Naked Statistics, Charles Wheelan explains a field that is commonly seen, commonly applied, and commonly misinterpreted: statistics. Though statistical data is ubiquitous in daily life, valid statistical conclusions are not. Wheelan reveals that when data analysis is flawed or incomplete, faulty conclusions abound. Wheelan’s work uncovers statistics’ unscrupulous potential, but also makes a key distinction between deliberate misuse and careless misreading. However, his analysis is less successful in distinguishing common sense from poor judgement, a gap that enables the very statistical issues he describes to perpetuate themselves.
Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities. Statistics are also used for making informed decisions and misused for other reasons in all areas of business and government. Statistical methods can be used to summarize or describe a collection of data; this is called descriptive statistics. In addition, patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations, and then used to draw inferences about the process or population being studied; this is called inferential statistics. Both
Social Stability is Not Worth Sacrificing Everything Ha Pham La Quinta High School English 12: EWRC Mr. Johnston March 10, 2024. Social Stability is Not Worth Sacrificing Everything Social stability is undeniably a crucial element in human life, but is it worth sacrificing everything else? In the novel Brave New World by Aldous Huxley, the World State establishes social stability by controlling almost every aspect of its citizens. In this dystopian future envisioned by Huxley, people are not born but rather manufactured through advanced science and technology and are sorted into a caste system before they are even alive.
Imagine a world where honesty was the only option. People could not lie if they wanted to. The concept of a lie is inconceivable to the inhabitants of the this made up world. Politicians are as see-through as glass, and criminals convict themselves within seconds. Now place yourself in this world, with the knowledge and understanding of deception. You are an Ambassador of a merited nation, and your country has declared war on a neighboring commonwealth. The citizens of this foreign state are apparently not so different from the citizens in your community, yet their government is unfairly claiming the land of less protected villages on the border of your nation and theirs. Your citizens don’t see the importance of declaring war over a