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The chocolate-bar example tests a mean of 5 grams. A claim that the mean changed in either direction gives a two-sided alternative: and $:\mu e5$.
Probability & statistics / English
Intro to Hypothesis Testing in Statistics - Hypothesis Testing Statistics Problems & Examples
Math and Science · YouTube · 23:40
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Introduce null and alternative hypotheses and explain why failure to reject is not proof of the null.
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7:30Translate a claim10:30Two decisions13:30Use a predefined ruleLearning script
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The chocolate-bar example tests a mean of 5 grams. A claim that the mean changed in either direction gives a two-sided alternative: and $:\mu e5$.
The decision is to reject the null or fail to reject it. Insufficient evidence against the null does not establish that the null is true.
A test statistic summarizes sample evidence. Its decision rule must account for sampling variability and a chosen significance level; neither a confidence level nor a p-value is the probability that the null hypothesis is true.
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Two decisions
The decision is to reject the null or fail to reject it. Insufficient evidence against the null does not establish that the null is true.
Use a predefined rule
A test statistic summarizes sample evidence. Its decision rule must account for sampling variability and a chosen significance level; neither a confidence level nor a p-value is the probability that the null hypothesis is true.
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- Hypothesis testing ExplanationAt 7:30
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The chocolate-bar example tests a mean of 5 grams. A claim that the mean changed in either direction gives a two-sided alternative: and $:\mu e5$. The decision is to reject the null or fail to reject it. Insufficient evidence against the null does not establish that the null is true. A test statistic summarizes sample evidence. Its decision rule must account for sampling variability and a chosen significance level; neither a confidence level nor a p-value is the probability that the null hypothesis is true.
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