Hypothesis Testing - Intro to Proportions

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•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a hypothesis test?
Back
A hypothesis test is a statistical method used to make decisions about a population parameter based on sample data. It involves formulating a null hypothesis (H₀) and an alternative hypothesis (Hₐ), then using sample data to determine whether to reject H₀.
2.
FLASHCARD QUESTION
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.
3.
FLASHCARD QUESTION
Front
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.
4.
FLASHCARD QUESTION
Front
What does a right-tailed test indicate?
Back
A right-tailed test is used when the alternative hypothesis (Hₐ) states that the parameter is greater than a certain value (e.g., Hₐ: p > 15).
5.
FLASHCARD QUESTION
Front
What distribution is used for hypothesis testing about population proportions?
Back
The z-distribution is used for hypothesis testing about population proportions.
6.
FLASHCARD QUESTION
Front
What is the significance level (α) in hypothesis testing?
Back
The significance level (α) is the probability of rejecting the null hypothesis when it is actually true, commonly set at 0.05 or 0.01.
7.
FLASHCARD QUESTION
Front
How do you determine the critical value for a left-tailed test?
Back
The critical value for a left-tailed test can be found using z-tables or statistical software, based on the significance level (α). For α = 0.05, the critical value is z₀ = -1.645.
Tags
CCSS.HSS.ID.A.4
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