Chapter 7 - Hypothesis testing Flashcards

1
Q

What is a hypothesis?

A

A statement made about the value of a population parameter that we wish to test by collecting evidence from a sample

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2
Q

What is the null hypothesis?

A

The hypothesis that you assume to be correct. It has nothing to do with your sample

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3
Q

What is the alternative hypothesis?

A

There has been some change in the population parameter

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4
Q

What is a one-tailed test?

A

A hypothesis test in the form H1: p>x or p

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5
Q

What is a two-tailed test?

A

A hypothesis test in the form H1: p≠x

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6
Q

What is the test statistic?

A

The evidence from the sample

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7
Q

What is the level of significance?

A

The maximum probability where we would reject the null hypothesis

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8
Q

What is the critical region?

A

An area of the probability distribution which, if the test statistic falls within, it would cause you to reject the null

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9
Q

What is the critical value?

A

The first value in the critical region

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10
Q

What is the acceptance region?

A

The region in which we accept the null hypothesis

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11
Q

What is the actual significance level?

A

The probability of incorrectly rejecting the null hypothesis

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12
Q

What is important to remember about two-tailed tests?

A

There are two critical regions - one at either end of the distribution

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13
Q

How to conduct a one-tailed test?

A

Formulate a model for the test statistic
Identify the two hypotheses
Calculate the probability of the test statistic assuming the null is true
Compare this to the significance level
Write a conclusion in context of the question

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