One Sample Hypothesis Testing

Front

What is a null hypothesis (H0)?

Back

The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.

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What is an alternative hypothesis (Ha)?

Back

The alternative hypothesis (Ha) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.

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What does it mean to reject the null hypothesis?

Back

Rejecting the null hypothesis means that there is sufficient evidence to support the alternative hypothesis.

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What is a p-value?

Back

A p-value is the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.

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What does a low p-value indicate?

Back

A low p-value (typically < 0.05) indicates strong evidence against the null hypothesis, leading to its rejection.

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What is a one-sample t-test?

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A one-sample t-test is a statistical test used to determine if the mean of a single sample is significantly different from a known or hypothesized population mean.

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What is the significance level (alpha)?

Back

The significance level (alpha) is the threshold for determining whether to reject the null hypothesis, commonly set at 0.05 or 0.01.

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What is a two-sided test?

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A two-sided test is a hypothesis test that considers both directions of the effect, testing for the possibility of the relationship in both directions.

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What is the purpose of hypothesis testing?

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The purpose of hypothesis testing is to make inferences about population parameters based on sample data.

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What does it mean if a test statistic is negative?

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A negative test statistic indicates that the sample mean is less than the hypothesized population mean in the context of the test.