FANR 3000 1st Edition Lecture 8 Outline of Last Lecture I Data Interpretation and T table II Confidence intervals Outline of Current Lecture I Hypotheses II Type I and Type II Errors III P values Current Lecture I II III Hypotheses Inferential Statistics o To estimate a population parameter o To test a hypothesis The assumption made about the population parameters 1 Determine null H0 and alternative hypotheses a H0 the belief that the mean of the population is or a specific value b H1 opposite of the null hypothesis holds true if H0 is found to be false c Results of test will either be i Reject null hypothesis ii Fail to reject null hypothesis Type I and Type II Errors 2 Specify level of significance a Type I Error a false positive rejection of H0 when in reality it is true b Type II Error a false negative failure to reject H0 when in reality it is not true Increasing the sample size will reduce both types of error 3 Select the test statistic that will be used 4 Collect the sample data and compute the value of the test statistic P values 5 Use value of the test statistic to make a decision using a p value These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute a P values the smallest level of significance at which the H0 will be rejected assuming the H0 is true the probability that the observed statistic occurred by chance alone b To determine if the observed outcome is statistically significant compare p value to acceptable probability i If p value reject H0 ii If p value fail to reject H0 6 Interpret statistical results in real world terms