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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

See all 24 lessons in Introductory Statistics, including concept tutorials, problem drills and cheat sheets: Teach Yourself Introductory Statistics Visually in 24 Hours

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