The population defined by the null hypothesis's proportion, P 0. Tests whether the population defined by the proportion, P, from which you drew your sample is different from Your null hypothesis and alternative hypothesis should be stated in one of three mutually exclusive ways listed in the table below. The alternative hypothesis represents an alternative claim to the null hypothesis. It is defined by a hypothesized proportion, The null hypothesis, is a skeptical claim that you would like to test. You must state a null hypothesis and an alternative hypothesis to conduct a hypothesis test for a proportion. Sample-to-Population Ratio - The population should be much larger than the sample you collect.Īs a rule-of-thumb, the sample size should represent no more than 5% of the population.Sampling requires that every occurrence of a category or event in a population has an equal chance of being selected Simple Random Sampling - You should collect your sample with simple random sampling.This condition helps ensure that the sampling distribution from which you collect your sample reasonably follows the Normal Distribution. “success” rate, then you would need a sample of 100 to have a large enough sample to meet this condition. You are likely to see at least 10 “success” and 10 “failures.” For example, if you have null hypothesis proportion with a 10% or 0.1 Success-Failure Rate - Your sample size should be large enough that under the null hypothesis proportion.“failure,” but it does not matter which of the two outcomes gets which label. We often label one outcome a “success” and one outcome a Point should consist of only one of two outcomes. Binary Outcomes - When conducting a hypothesis test for a proportion, each sample.To use the testing procedure described below, you should check the following conditions: Testing a Proportionįor the results of a hypothesis test to be valid, you should follow these steps: It is a tool to determine what is probably true about an event or phenomena. Conducting Single Proportion Hypothesis TestsĪ hypothesis test of a sample proportion can help you make inferences about the populationįrom which you drew it.
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