Hypothesis Testing: The Big Picture (One Sample t-test) I Statistics 101 #1 | MarinStatsLectures

Hypothesis Testing: What type of questions motivates the use of a hypothesis test?

This video is the first in a series that introduce the concepts and principles of hypothesis testing, in the context of a one-sample t-test. We will work through a fun example to explain step by step what all the components of hypothesis testing are.

►The One Sample t Test helps us decide whether or not we believe the sample mean is statistically different from a known or hypothesized population mean. The One Sample t Test is a parametric test. This test is also known as: Single Sample t Test or Student’s t test or when one assumes the population standard deviation is known, it is called the Z test. The One Sample t Test works by calculating a test statistic that measures how compatible the sample statistic (the sample mean in this case) is with the value that would be expected for the sample statistic if the null hypothesis were in fact true (the null hypothesized value). A p-value is then calculated. The p-value tells us the probability of obtaining a sample statistic as far, or further, from the null hypothesized value, if the null hypothesis were in fact true. The p-value helps us decide whether or not we will believe the null hypothesis to be true or not.

►In this set of tutorials (Statistics 101), you will learn the concept of a null and alternative hypothesis, how a test statistic can be used to measure the compatibility of our data with the null hypothesis, the use of a significance level and p-values or critical regions, conclusions that we can make as well as the errors that may be made when drawing our conclusions.

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These videos are created by #marinstatslectures to support some courses at The University of British Columbia (UBC) (#IntroductoryStatistics and #RVideoTutorials for Health Science Research), although we make all videos available to the everyone everywhere for free.

Thanks for watching! Have fun and remember that statistics is almost as beautiful as a unicorn!

[PM-stvu]

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[kwamefresh]

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[krzysztofs]

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[lanternofthegreen]

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[jyothirmayeekothakota]

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