Is A Margin Of Error A Descriptive Or Inferential Statistic
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the sample was taken. Inferential statistics is the branch of statistics that deals with using sample data to make valid judgments (inferences) about the population from which the sample data came. The table below illustrates
Margin Of Error Statistics
some differences between descriptive statistics and inferential statistics. In each example, descriptive statistics are used inferential statistics examples to tell us something about a sample. Inferential statistics are used to tell us something about the corresponding population. Descriptive Statistics Inferential
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Statistics 60% of the voters responding to a poll favor proposition A. 60% of the voters in the state favor proposition A, with a margin of plus or minus three percentage points. In a trial study, brand what are descriptive statistics A pain medicine resulted in noticeable relief an average of 20 minutes sooner than brand B medicine. Brand A pain medicine brings noticeable relief significantly faster than brand B medicine. The sample mean is 100. The 95% confidence interval for the population mean is 97 to 103. A random sample of high school students was selected to take an SAT preparation course. After completing the course, the mean SAT score for this group what is confidence interval of students was 25 points higher. An SAT preparation course will significantly increase students' SAT scores. Confidence Intervals So far, we have focused on descriptive statistics that describe a particular sample from a much larger population. Recall, however, that the ultimate goal is to be able to describe the population from which the sample came. For example, we might calculate the average reaction time of a sample of teen drivers in order to learn something about the reaction times of the population of all teen drivers. In a different context, we might determine what proportion of a sample of voters approves of the President's performance in order to learn something about the proportion of the entire population who approve. In either case, we use the sample statistic (sample mean or sample proportion) to generate a range of likely values for the corresponding population parameter (population mean or population proportion). This range of likely values is called a confidence interval. A confidence interval has two parts; an interval of likely values and a measure of our confidence that the population parameter lies within the specified interval. The interval is generally of the form where the estimate is derived from a simple random sample of the population. The estimate of the population mean is the sample mean and the estimate for
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Descriptive Statistics Vs Inferential Statistics
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