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If we're given a particular normal distribution with some mean and standard deviation, we can use that z-score to find the actual cutoff for that percentile. In this example, we find what pulse rate represents the top 30% of all pulse rates in a population.
In a significance test about a population proportion, we first calculate a test statistic based on our sample results. We then calculate a p-value based on that test statistic using a normal distribution.
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Learn how to compare different data values using z-scores, a standardized measure of position. Watch a video lesson with examples and exercises.
Watch how to calculate the correlation coefficient r, a measure of the strength and direction of a linear relationship between two variables.
Review the properties and applications of normal distributions, such as mean, standard deviation, and z-scores, with examples and exercises.
Given sample results and the test statistic, practice calculating the P-value in a one-sample z test for a proportion.
And if you have a calculator or a normal distribution table, you don't have to do this. But sometimes in class, or people want you to estimate percentages, and so you can impress people if you can do this in your head.