Null and Alternative Hypothesis Practice

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 or starting assumption in hypothesis testing.

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What is an alternative hypothesis (Hₐ)?

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The alternative hypothesis (Hₐ) is a statement that indicates the presence of an effect or a difference, and it is what the researcher aims to support.

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How do you denote the null hypothesis?

Back

The null hypothesis is denoted by H₀.

Tags

CCSS.7.SP.C.6

Front

How do you denote the alternative hypothesis?

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The alternative hypothesis is denoted by H₁.

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What does it mean if H₀ is rejected?

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If H₀ is rejected, it suggests that there is sufficient evidence to support the alternative hypothesis (Hₐ).

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What does it mean if H₀ is not rejected?

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If H₀ is not rejected, it indicates that there is not enough evidence to support the alternative hypothesis (Hₐ).

Tags

CCSS.6.SP.A.2

Front

What is a one-tailed test?

Back

A one-tailed test is a hypothesis test that evaluates the direction of the effect, either greater than or less than a certain value.

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What is a two-tailed test?

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A two-tailed test is a hypothesis test that evaluates whether there is a difference in either direction (greater than or less than a certain value).

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What is the significance level (α)?

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The significance level (α) is the probability of rejecting the null hypothesis when it is actually true, commonly set at 0.05.

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What is a Type I error?

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A Type I error occurs when the null hypothesis is rejected when it is actually true.