https://www.khanacademy.org/math/statistics-probability/significance-tests-one-sample/idea-of-significance-tests/v/simple-hypothesis-testing 2020-06-23T07:22:42Z Simple hypothesis testing Sal walks through an example about who should do the dishes that gets at the idea behind hypothesis testing. Sal Khan video https://cdn.kastatic.org/googleusercontent/3kQ6NeK5MkCW_R3YVwsZaQ1j0ge5tgaZFZRbaAYEOAV-4gvmwgBc4tstQlbTaNSm0bZ3-bH757cCSRScfqJaNg Simple hypothesis testing Sal walks through an example about who should do the dishes that gets at the idea behind hypothesis testing. https://cdn.kastatic.org/ka-youtube-converted/5D1gV37bKXY.mp4/5D1gV37bKXY.mp4 385 Hypothesis testing https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/v/idea-behind-hypothesis-testing 2024-01-19T18:37:08.054557436Z Idea behind hypothesis testing The lesson explores hypothesis testing in statistics, demonstrating how varied outcomes from a test with a known accuracy rate can influence the acceptance or rejection of a hypothesis. This understanding is key to evaluating the reliability of statistical tests. video https://cdn.kastatic.org/ka_thumbnails_cache/af78c927-0baf-4729-917f-1ec9f39858ba_1280_720_base.png Idea behind hypothesis testing The lesson explores hypothesis testing in statistics, demonstrating how varied outcomes from a test with a known accuracy rate can influence the acceptance or rejection of a hypothesis. This understanding is key to evaluating the reliability of statistical tests. https://cdn.kastatic.org/ka-youtube-converted/dpGmVV0-4jc.mp4/dpGmVV0-4jc.mp4 469 Hypothesis testing https://www.khanacademy.org/math/statistics-probability/significance-tests-one-sample/idea-of-significance-tests/e/hypothesis-testing-with-simulations 2026-04-08T01:15:04.085520103Z Simple hypothesis testing Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions. Tomer Gal exercise https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/v/examples-of-null-and-alternative-hypotheses 2022-11-16T04:22:43.7414897Z Examples of null and alternative hypotheses The null and alternative hypotheses are both statements about the population that you are studying. The null hypothesis is often stated as the assumption that there is no change, no difference between two groups, or no relationship between two variables. The alternative hypothesis, on the other hand, is the statement that there is a change, difference, or relationship. video https://cdn.kastatic.org/googleusercontent/OXbA1gYSDWaeWJVj0aqC6yyI3SgIRJC2PDyjAx1Llw3ltRyN-jNIM4MH24rpc9TTHpxSXilMIY5m3JFjM8rjDkg Examples of null and alternative hypotheses The null and alternative hypotheses are both statements about the population that you are studying. The null hypothesis is often stated as the assumption that there is no change, no difference between two groups, or no relationship between two variables. The alternative hypothesis, on the other hand, is the statement that there is a change, difference, or relationship. https://cdn.kastatic.org/ka-youtube-converted/_3_6wjycJdk.mp4/_3_6wjycJdk.mp4 342 Hypothesis testing https://www.khanacademy.org/math/ap-statistics/xfb5d8e68:inference-categorical-proportions/idea-significance-tests/e/writing-null-and-alternative-hypotheses-informal 2021-07-01T02:19:28Z Writing null and alternative hypotheses Practice writing null and alternative hypotheses for a significance test Jeff Dodds exercise 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 Hypothesis testing 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 Hypothesis testing 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 Hypothesis testing 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