One Sample t Test

 A one-sample t-test is a statistical test used to compare the mean of a sample to a known population mean. It is used to test a hypothesis about the population mean and is based on the assumption that the sample is drawn from a normally distributed...

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Dec 21, 2022
P-Value in Statistical Hypothesis Tests

The p-value is the probability of obtaining a test statistic that is equal to or more extreme than the one observed, assuming that the null hypothesis is true. It is used in hypothesis testing to determine the significance of the observed results. Fo...

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Dec 20, 2022
Two Sample Z Hypothesis Test

 A two-sample z-test is a statistical test used to compare the means of two different samples to determine if there is a significant difference between them. It is based on the assumption that both samples are drawn from normally distributed populati...

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Dec 20, 2022
One Sample Z Hypothesis Test

 A one-sample z-test is a statistical test used to compare the mean of a sample to a known population mean. It is used to test a hypothesis about the population mean and is based on the assumption that the sample is drawn from a normally distributed...

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Dec 20, 2022
Common Types of Hypothesis Tests

Hypothesis testing is a fundamental tool in statistical analysis that allows us to make decisions about a population based on sample data. It involves formulating a hypothesis about a population parameter, collecting data, and using statistical techn...

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Dec 20, 2022
Power of a Statistical Test

The statistical power of the test is the probability of correctly rejecting the null hypothesis when it is false. In other words, it is the probability of not making a type II error in a hypothesis test. The relationship between the power of the test...

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Dec 20, 2022
Confidence level = 1 – Significance level (alpha)

Confidence level and significance level are two important concepts in statistical hypothesis testing. The confidence level measures how confident we are that our conclusions are correct. In contrast, the significance level (also called alpha value) i...

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Dec 20, 2022
Type I and Type II Errors Explained

In hypothesis testing, two types of errors can occur: type I and type II. These errors refer to the incorrect rejection or acceptance of the null hypothesis respectively.Type I Error (Alpha)A type I error occurs when the null hypothesis is true but i...

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Dec 20, 2022
Null and Alternate Hypotheses

In statistics, the null and alternative hypotheses are two mutually exclusive and exhaustive hypotheses used in hypothesis testing to evaluate the evidence in a sample. The null hypothesis represents the default assumption that no significant differe...

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Dec 19, 2022
Steps for Hypothesis Testing (Two Approaches)

Hypothesis testing is a statistical procedure that allows us to test assumptions or beliefs about a population based on sample data. There are two main approaches to hypothesis testing:Traditional approach andThe p-value approach.In the traditional a...

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Dec 19, 2022