https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/v/p-values-and-significance-tests 2022-11-16T04:22:43.7414897Z P-values and significance tests We compare a P-value to a significance level to make a conclusion in a significance test. Given the null hypothesis is true, a p-value is the probability of getting a result as or more extreme than the sample result by random chance alone. If a p-value is lower than our significance level, we reject the null hypothesis. If not, we fail to reject the null hypothesis. video https://cdn.kastatic.org/googleusercontent/nOw2xiCTIpFBKTmpWTtokdiTCKLtb-RilavA58juAbMNpz8Xak_nd6VA4w33pQAfWeYj25XzvCE87DjXgaWx4tAv P-values and significance tests We compare a P-value to a significance level to make a conclusion in a significance test. Given the null hypothesis is true, a p-value is the probability of getting a result as or more extreme than the sample result by random chance alone. If a p-value is lower than our significance level, we reject the null hypothesis. If not, we fail to reject the null hypothesis. https://cdn.kastatic.org/ka-youtube-converted/KS6KEWaoOOE.mp4/KS6KEWaoOOE.mp4 478 P-values https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/v/comparing-p-value-diff-significance-levels 2022-10-07T00:58:19.561984208Z Comparing P-values to different significance levels Example comparing P-values to different significance levels, and why it's important to set the significance level before a test. video https://cdn.kastatic.org/ka_thumbnails_cache/d2f088de-f17e-40aa-9a91-65105229f636_1280_720_base.png Comparing P-values to different significance levels Example comparing P-values to different significance levels, and why it's important to set the significance level before a test. https://cdn.kastatic.org/ka-youtube-converted/DQCF4kTXf9Q.mp4/DQCF4kTXf9Q.mp4 281 P-values https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/v/estimating-p-value-from-simulation 2022-10-07T00:58:19.561984208Z Estimating a P-value from a simulation Example of estimating a P-value based on a simulation to approximate a sampling distribution assuming the null hypothesis is true. video https://cdn.kastatic.org/googleusercontent/jTvwlzvHQmwN0zbajOrXqICMiJV4L1nC1sqXyNFrkRMzr3ZPo3O_g76YcLjPSIC7NEf5OWmVKTW7Ai9wE0Iq8DE Estimating a P-value from a simulation Example of estimating a P-value based on a simulation to approximate a sampling distribution assuming the null hypothesis is true. https://cdn.kastatic.org/ka-youtube-converted/hNDlqAYRDyg.mp4/hNDlqAYRDyg.mp4 285 P-values https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/e/estimating-p-values-and-making-conclusions 2021-07-01T02:19:29Z Estimating P-values from simulations Use results of simulations to estimate P-values in significance tests. Jeff Dodds exercise https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/a/p-value-conclusions 2021-07-01T02:19:30Z Using P-values to make conclusions Learn how to use a P-value and the significance level to make a conclusion in a significance test. article