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Inference with Proportions and Means

 Topic Review on "Title": Inference: statistical inference is to perform testing and estimation in such a manner as to provide for the evaluation and control over the probabilities of making such errors. Tests of hypothesis: the statement about the values of population parameters may or may not be rejected. Estimation: the process by which sample data are used to indicate the value of an unknown quantity in the population. Experiment: data from a sample are used to test the validity of the hypothesis is called experiment. Statistical hypothesis:  the hypothesis is stated in terms of population parameters such as the mean and variance. Null hypothesis: is a statement about the values of one or more parameters. Alternative hypothesis:  the statement we hope or suspect is true. Type I error: null hypothesis is actually true but the decision is to reject it. Level of significance maximum probability of committing a type I error. Confidence interval: certain probability that the true proportion is within the interval. Tests of significance: are used to assess the evidence provided by data in support of a claim about the population. P-value: the probability that the test statistic would take on as extreme a value as that observed, assuming that the null hypothesis is true. Sample Mean Standard Deviation Propotion p = Standard Error Comparing proportions Z Statistic Rapid Study Kit for "Title":
 Flash Movie Flash Game Flash Card Core Concept Tutorial Problem Solving Drill Review Cheat Sheet   "Title" Tutorial Summary : Statistics is the art of decision making in the face of uncertainty. The field of statistical inference consists of those methods used to make decisions or draw conclusions about a population. These methods utilize the information contained in a sample from the population in drawing conclusions. Tests of significance are used to assess the evidence provided by data in support of a claim about the population. The "strength of the evidence" against the claim is used to refute a false claim. Numerical examples are used to illustrate the steps in the hypothesis testing that leads to the final conclusion.

 Tutorial Features: Specific Tutorial Features: The properties of the inference with proportions and means are shown in the examples. Step by step explanation of hypothesis testing is provided. Series Features: Concept map showing inter-connections of new concepts in this tutorial and those previously introduced. Definition slides introduce terms as they are needed. Visual representation of concepts Animated examples—worked out step by step A concise summary is given at the conclusion of the tutorial.

 "Title" Topic List: Inference Test of hypothesis Type I and type II errors Inference on the population mean Confidence interval for proportions One population proportion hypothesis testing Comparing two population proportions

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