Question 1

In hypothesis testing, what is the term used to describe the set of all values for which we will reject the null hypothesis?

Accepted Answer

Rejection region

Answer

Confidence interval

Answer

Acceptance region

Answer

Critical value

Question 2

What is the purpose of the rejection region in hypothesis testing?

Accepted Answer

To determine when to reject the null hypothesis

Answer

To accept the null hypothesis

Answer

To establish the sample size

Answer

To calculate the p-value

Question 3

If the test statistic falls into the rejection region, what decision is made regarding the null hypothesis?

Accepted Answer

It is rejected

Answer

A new test is needed

Answer

It remains untested

Answer

It is accepted

Question 4

In the context of hypothesis testing, what determines the size of the rejection region?

Accepted Answer

The significance level (\u003cmath\u003e\alpha\u003c/math\u003e)

Answer

The sample size

Answer

The p-value

Answer

The test statistic

Question 5

Which type of error occurs if a true null hypothesis is incorrectly rejected within the rejection region?

Accepted Answer

Type I error

Answer

Sampling error

Answer

Non-sampling error

Answer

Type II error

Question 6

What is the rejection region in hypothesis testing based on?

Accepted Answer

The critical value(s)

Answer

The alternative hypothesis

Answer

The sample mean

Answer

The null hypothesis

Question 7

How does increasing the significance level affect the size of the rejection region in hypothesis testing?

Accepted Answer

Increasing the significance level increases the size of the rejection region

Answer

Increasing the significance level decreases the size of the rejection region

Answer

The larger the sample size, the smaller the rejection region

Answer

There is no impact on the size of the rejection region

Question 8

What is the rejection region in hypothesis testing used to determine?

Accepted Answer

Whether to reject the null hypothesis

Answer

The power of the test

Answer

The effect size of the alternative hypothesis

Answer

The confidence interval of the sample mean

Question 9

Which statement best describes how the rejection region is related to the p-value in hypothesis testing?

Accepted Answer

If the p-value is less than the significance level, the test statistic falls in the rejection region.

Answer

The rejection region is always twice the size of the p-value.

Answer

The p-value determines the shape of the rejection region.

Answer

P-values and rejection regions are unrelated.

Question 10

Which type of error occurs if a false null hypothesis is incorrectly accepted, falling outside the rejection region?

Accepted Answer

Type II error

Answer

Sampling error

Answer

Type I error

Answer

Non-sampling error

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