Is The P Value The Critical Value In hypothesis testing the value corresponding to a specific rejection region is called the critical value z crit z crit or z hence the other name critical region Finding the critical value works exactly the same as finding the z score corresponding to any area under the curve like we did in Unit 1
P values offer a continuous measure of evidence against the null hypothesis in contrast to critical values If the null hypothesis is true a p value expresses the probability that a test statistic Will be either as extreme as or more extreme than Critical values and p values represent two distinct approaches to hypothesis testing each offering unique insights into the decision making process The critical value approach rooted in traditional hypothesis testing establishes a clear boundary for accepting or rejecting the null hypothesis
Is The P Value The Critical Value
Is The P Value The Critical Value
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The rejection region is bounded by a specific z value as is any area under the curve In hypothesis testing the value corresponding to a specific rejection region is called the critical value z crit z crit or z hence the other name critical region Specifically assuming the null hypothesis is true the p value tells us the probability of obtaining an effect at least as large as the one we actually observed in the sample data If the p value of a hypothesis test is sufficiently low we can reject the null hypothesis
Critical values are essentially cut off values that define regions where the test statistic is unlikely to lie for example a region where the critical value is exceeded with probability if the null hypothesis is true There are two approaches how to arrive at that decision The critical value approach the p value approach By applying the critical value approach it is determined whether or not the observed test statistic is more extreme than a defined critical value
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What is a P value and a critical value The likelihood that a test statistic will be observed as being more extreme than the one determined if the null hypothesis were true is known as the P value Put another way it s the probability that your observed outcomes were the result of pure chance P values and critical values are so similar that they are often confused They both do the same thing enable you to support or reject the null hypothesis in a test But they differ in how you get to make that decision In other words they are
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In hypothesis testing the value corresponding to a specific rejection region is called the critical value z crit z crit or z hence the other name critical region Finding the critical value works exactly the same as finding the z score corresponding to any area under the curve like we did in Unit 1
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P values offer a continuous measure of evidence against the null hypothesis in contrast to critical values If the null hypothesis is true a p value expresses the probability that a test statistic Will be either as extreme as or more extreme than
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