Question 1

Which of the following best describes the null hypothesis ($$H_0) in $$hypothesis testing?

Accepted Answer

It is a statement that there is no effect or no difference in the population parameter.

Question 2

A pharmaceutical company claims that a new drug reduces the percentage of children with side effects from 2% to less than 2%. Which is the correct alternative hypothesis ($$H_a) $$for this scenario?

Accepted Answer

$$H_a: p \u003c 0.02$$

Question 3

Which of the following is a Type I error in hypothesis testing?

Accepted Answer

Rejecting the null hypothesis when it is true.

Question 4

In a jury trial analogy for hypothesis testing, what does 'rejecting the null hypothesis' correspond to?

Accepted Answer

Declaring the defendant guilty.

Question 5

Which symbol is commonly used to denote the probability of making a Type I error?

Accepted Answer

$$\alpha$$

Question 6

Suppose a community college administrator wants to test if the mean time to complete an exam is longer than 60 minutes. Which type of test should be used?

Accepted Answer

Right-tailed test

Question 7

What is the correct sequence of the three main steps in hypothesis testing?

Accepted Answer

State hypotheses, analyze data, make decision

Question 8

Which of the following best describes a two-tailed test?

Accepted Answer

It tests whether the parameter is different from a specific value (either higher or lower).

Question 9

If the level of significance is set at $$\alpha = 0.01$$, what does this mean in the context of hypothesis testing?

Accepted Answer

There is a 1% chance of making a Type I error.

Question 10

Which of the following statements is true regarding the conclusion of a hypothesis test?

Accepted Answer

We can only reject or fail to reject the null hypothesis based on sample evidence.

Question 11

A Type II error occurs when:

Accepted Answer

The null hypothesis is not rejected when it is false.

Question 12

Which factor determines whether the alternative hypothesis is two-tailed, left-tailed, or right-tailed?

Accepted Answer

The direction of the research question or claim

Question 13

In hypothesis testing, what does the level of significance ($$\alpha) $$represent?

Accepted Answer

The probability of making a Type I error

Question 14

Why is the level of significance not always set at $$\alpha = 0.05$$?

Accepted Answer

Because the choice of $$\alpha$$ depends on the context and consequences of making errors.

Question 15

A researcher wants to test if a new teaching method changes the average test score from 75. Which is the correct null hypothesis?

Accepted Answer

$$H_0$$: \mu = 75$$

Question 16

Which of the following is NOT a possible outcome in hypothesis testing?

Accepted Answer

Accepting the alternative hypothesis when it is true

Question 17

In a medical study, failing to detect a real effect of a new drug when it actually works is an example of:

Accepted Answer

Type II error

Question 18

Which of the following best describes the alternative hypothesis ($$H_a$$)?

Accepted Answer

It is a statement that there is an effect or a difference in the population parameter.

Question 19

A right-tailed test is appropriate when:

Accepted Answer

The research question asks if the parameter is greater than a specific value.

Section 10.1: The Language of Hypothesis Testing

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