MATH 10041 Lecture Notes - Lecture 23: Null Hypothesis, Statistical Hypothesis Testing, Test Statistic

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8. 1: the essential ingredients of hypothesis testing: write a null and alternative hypothesis for a test involving a population proportion, compute and interpret a test statistic and p-value. Hypothesis testing: a procedure that enables us to choose between two claims when we have variability in our measurements, four steps, hypothesize, state a hypothesis (claim) that will be weighed against a neutral. Skeptical claim: prepare, determine how you"ll use data to make your decision and make sure you have enough data to minimize the probability of making mistakes, compute to compare, collect data and compare them to your expectation. An introductory example: a coin is spun on a flat surface. You hypothesize it is more likely to come up heads because that side of the coin bulges out slightly compared to the tails side: you spin the coin 20 times and it comes up heads all 20 times.

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