STC 262 Lecture Notes - Lecture 5: Null Hypothesis, Confidence Interval, Statistical Hypothesis Testing

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Inferring from a sample to a population. In large samples, the sampling statistics will be normally distributed. We can use the characteristics of a normal distribution to help us infer from the sample to the population. How similar is our sample to our population. We can use characteristics of our sample to estimate the amount of error. Difference between our sample and our population. Confidence level refers to how confident we are that our estimate of the population is accurate. A confidence interval based on 1 standard error of the mean = 68. 26% confidence level. A confidence interval based on 2 standard error of the mean = 95. 44% confidence level. A confidence interval based on 3 standard error of the mean = 99. 72% confidence level. A confidence level of 95% is the standard in social sciences. A confidence interval based on 1. 96 standard error of the mean = 95% confidence level.

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