Statistical Hypothesis Testing: Understanding Null and Alternative Hypotheses - Prof. B. H, Study notes of Statistics

Download Statistical Hypothesis Testing: Understanding Null and Alternative Hypotheses - Prof. B. H and more Study notes Statistics in PDF only on Docsity! STAT 110 Chapter 22 Definitions The claim or assumption being tested is called the null hypothesis such as: H0: p = 0.50 The null hypothesis is the status quo. It has the = sign. The statement we are looking for evidence of is called the alternative hypothesis. Three possible alternate hypotheses for the above null hypothesis are: 1) Ha: p < 0.50 or 2) Ha : p>0.50 or 3) Ha: p is not equal to 0.50 The alternative hypothesis is the experimental hypothesis. The p-value is the probability that we would see a statistic at least as extreme as the one observed if the null hypothesis was true. α is the significance level. It is how rare something needs to be before we say it is “not likely to happen just by chance.” It is the probability we are willing to risk that we say H0 is false when it is really true.