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Hypothesis testing is a statistical method used to make an inference, or draw a conclusion, about a population based on a sample of data. It involves comparing the sample data to an assumed null hypothesis and determining the probability of obtaining the observed data if the null hypothesis is true. The steps involved in hypothesis testing include: 1. Formulating the null hypothesis (H0) and alternative hypothesis (Ha): The null hypothesis is the assumption that there is no significant difference or relationship between variables, while the alternative hypothesis is the opposite assumption. 2. Choosing a significance level (alpha): The significance level, denoted by alpha, is the probability of rejecting the null hypothesis when it is true. Commonly used values for alpha are 0.05 and 0.01. 3. Collecting and analyzing the data: A sample is collected, and relevant statistics are calculated. These statistics may include measures such as means, proportions, or correlation coefficients. 4. Calculating the test statistic: The test statistic is a value that quantifies the difference between the observed data and the null hypothesis. The specific test statistic used depends on the type of data and the hypothesis being tested. 5. Determining the critical region: The critical region is the range of values that would lead to rejection of the null hypothesis. It is determined based on the chosen significance level and the distribution of the test statistic. 6. Calculating the p-value: The p-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the one observed if the null hypothesis is true. It is calculated based on the test statistic and the distribution of the null hypothesis. 7. Making a decision: If the p-value is less than the significance level, the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis. 8. Drawing conclusions: Based on the decision made in the previous step, conclusions are drawn about the population being tested. It is important to note that hypothesis testing does not prove or disprove a hypothesis with certainty. Instead, it provides evidence to support or contradict the null hypothesis.

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