One-Sample Testing Procedures in Statistics

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18 Questions

What is the probability of making a Type I error in a significance test at level α?

α

What is another name for a Type II error?

False Negative

How would you calculate the power of a test against a particular alternative value?

1 – β

Which of the following represents a correct null hypothesis result?

True Positive

What does the significance level α represent in hypothesis testing?

Probability of making a Type I error

How are Type I and Type II errors related to the power of a statistical test?

(1 – power) = 1 – β

What do boxplots and Q-Q plots help us check for?

Outliers and skewed distributions

Which of the following is an important consideration when conducting one-sample testing procedures?

Confidence level

What does the significance level (α) of a test represent?

Probability of making a Type I error

In statistical testing, what is the recommended threshold for statistical power?

0.80

What does the power of a statistical test refer to?

Ability to detect a difference when there is one

If we repeatedly use a 5% significance test when the null hypothesis is true, what percentage of times will we be correct?

95%

What is the purpose of the alternative hypothesis Ha in significance tests?

To define what outcomes count against the null hypothesis

In the context of determining if an email is spam, what is a Type I error?

Rejecting an email that is not spam

How does the power of an experiment change if the sample data has less scatter/variation?

Increases

Which error occurs when we fail to reject the null hypothesis (withhold judgment) when in fact the alternative hypothesis is true?

Type II error

What does a Type II error represent in a significance test?

Failing to reject the null hypothesis when it is false

How are Type I and Type II errors related to each other in significance tests?

Decreasing Type I error increases Type II error

Explore one-sample testing procedures in statistics, focusing on significance tests and confidence intervals. Learn how to handle small sample sizes and non-Normal data, and check for outliers using tools like boxplots and Q-Q plots. Dive into the concept of statistical power and its relationship with fixed level α significance tests.

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