Exploring the Fundamentals of Hypothesis Testing

What is a hypothesis in the context of statistics?

• A type of statistical test

• A data collection method

• A claim or statement about a population parameter

• A graphical representation of data

What does the null hypothesis typically include?

• A prediction of outcomes

• A statement of inequality

• A statement of equality

• A graphical analysis

In a two-tailed test, what does the alternative hypothesis suggest?

• The mean is exactly equal to a value

• The mean is not equal to a specific value

• The sample size is insufficient

• The data does not vary

What does a two-tailed test involve regarding the alternative hypothesis?

• It specifies the mean is greater than a value

• It specifies the mean is less than a value

• It suggests the mean is not equal to a specific value

• It confirms the mean equals the null hypothesis value

What is the alternative hypothesis in a left-tailed test?

• The proportion is equal to a certain value

• The mean is greater than a certain value

• The variance is less than a certain value

• The mean is less than a certain value

What does the rejection of the null hypothesis imply?

• Confirmation of the null hypothesis

• The need for additional data

• Sufficient evidence to support the alternative

• Insufficient evidence to support the alternative

What is the most commonly used significance level in hypothesis testing?

• 1%

• 5%

• 10%

• 20%

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CCSS.HSN.Q.A.1

What is the role of the significance level alpha in hypothesis testing?

• It determines the sample size

• It calculates the mean of the data

• It predicts the outcome of the experiment

• It specifies the rejection region size

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CCSS.6.SP.A.2

Where is the rejection region located in a right-tailed test?

• Across both tails

• In the center

• In the right tail

• In the left tail

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CCSS.6.SP.A.2

What determines whether the null hypothesis is rejected?

• The test statistic falls in the rejection region

• The data is non-parametric

• The test statistic equals the mean

• The sample size is large

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CCSS.HSS.ID.A.4