inferential statistics
Inferential statistics refers to the branch of statistics that involves making predictions, inferences, or generalizations about a population based on a sample
Inferential statistics refers to the branch of statistics that involves making predictions, inferences, or generalizations about a population based on a sample. It allows us to draw conclusions about a larger population using the data collected from a smaller subset, known as the sample.
The primary aim of inferential statistics is to analyze the sample data and use it to make inferences or draw conclusions about the characteristics, patterns, or relationships that exist within the population. These inferences are made by applying various statistical techniques, such as hypothesis testing and estimation.
Hypothesis testing is an important component of inferential statistics. It involves formulating a null hypothesis (H0) and an alternative hypothesis (HA), based on which we can evaluate the strength of evidence in favor of one hypothesis over the other. By collecting relevant data and performing statistical tests, we can determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Estimation, on the other hand, is another key aspect of inferential statistics. It involves using sample data to estimate or approximate population parameters. For example, we can estimate the population mean, population proportion, or population standard deviation by using appropriate statistical methods.
In summary, inferential statistics allows us to make inferences and draw conclusions about a larger population based on a smaller sample. It plays a crucial role in many fields, such as economics, social sciences, medicine, and market research, where it helps researchers make generalizations and decisions based on limited data.
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