Inferential Statistics: Populations vs Samples

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What is the purpose of using inferential statistics to evaluate sample data?

To make inferences about the larger population from which the sample was drawn

What is the purpose of distinguishing between the null hypothesis and the research hypothesis?

To provide a basis for statistical hypothesis testing

When is a t-test used and what are the three basic steps to using it?

Used to compare means of two groups, involving calculation of t-statistic, determining degrees of freedom, and assessing statistical significance

What does the F test assess in terms of variance?

Systematic variance and error variance

What do Type I and Type II errors refer to in statistical analysis?

Incorrectly rejecting a true null hypothesis and incorrectly failing to reject a false null hypothesis

What does inferential statistics try to answer?

Whether the answers from a single sample reflect what we would hear from the entire population

What is the purpose of a sampling distribution in determining statistical significance?

To provide a basis for comparing sample statistics with population parameters

How do effect-size and confidence intervals contribute to the validity of conclusions beyond hypothesis tests?

They provide information about the magnitude of an effect and the range within which population parameters are likely to fall

When is it appropriate to use a t-test?

When comparing means of two groups to determine if they are statistically different

What influences the probability of making Type I and Type II errors?

Sample size and level of significance

Learn about inferential statistics, which help us make inferences about populations based on our samples. This quiz covers the concept of how a single sample can reflect the entire population, and the use of inferential statistics to address this question.

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