Question 1

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

Accepted Answer

It is a statement that the value of a population parameter is equal to some claimed value.

Question 2

In the scientific method, which step directly involves hypothesis testing?

Accepted Answer

Test Hypothesis (Experiment)

Question 3

What is the significance level ($$\alpha) in $$hypothesis testing?

Accepted Answer

The probability that the test statistic will fall in the critical region.

Question 4

A researcher claims that the mean heart rate of adults is greater than 70 bpm. Which type of test should be used?

Accepted Answer

Right-tailed test

Question 5

If the alternative hypothesis uses the symbol $$
eq$$, which type of test is being conducted?

Accepted Answer

Two-tailed test

Question 6

What is the correct symbolic form for the alternative hypothesis if the claim is 'the mean is less than 0.9'?

Accepted Answer

$$H_1$$: \mu \u003c 0.9$$

Question 7

Which of the following best describes the logic of hypothesis testing?

Accepted Answer

Assume $$H_0 is $$true, then determine how unlikely the sample is under that assumption.

Question 8

If the test statistic lies outside the critical value(s), what should you conclude?

Accepted Answer

Reject the null hypothesis ($$H_0)$$

Question 9

A test statistic of $$z = -1.82 is $$obtained when testing the claim that $$\mu \u003c 0.9$$ with $$\alpha = 0.05. $$Using the critical value approach, what is the correct decision?

Accepted Answer

Reject $$H_0 if$$ $$z is $$less than the critical value.

Question 10

Which of the following is true about the P-value in hypothesis testing?

Accepted Answer

The null hypothesis is rejected if the P-value is less than $$\alpha.$$

Question 11

For a two-tailed test, how is the significance level $$\alpha$$ distributed?

Accepted Answer

$$\alpha is $$divided equally between the two tails of the critical region.

Question 12

A medical researcher tests whether a new drug changes the average recovery time. Which hypothesis test should be used?

Accepted Answer

Two-tailed test

Question 13

If the P-value for a left-tailed test is 0.03 and $$\alpha = 0.05$$, what is the correct conclusion?

Accepted Answer

Reject the null hypothesis ($$H_0)$$

Question 14

Which of the following is NOT a step in the process for hypothesis testing?

Accepted Answer

Always accept the null hypothesis

Question 15

In a right-tailed test, which sign is used in the alternative hypothesis ($$H_1$$)?

Accepted Answer

\u003e

Question 16

A two-tailed test is conducted with $$z = 1.54$$ and $$\alpha = 0.05. $$What is the P-value calculation?

Accepted Answer

P-value = twice the area in the tail beyond the test statistic

Question 17

Which approach uses a 'cut off' value to decide whether the test statistic is unusual?

Accepted Answer

Critical Value Approach

Question 18

If you fail to reject the null hypothesis, what does this imply?

Accepted Answer

There is insufficient evidence to support the alternative hypothesis.

Question 19

Which of the following is a real-world example of a hypothesis test?

Accepted Answer

Testing whether a new fertilizer increases crop yield compared to the current average.

Question 20

What is the main goal of both the critical value and P-value approaches in hypothesis testing?

Accepted Answer

To determine if the probability of the sample occurring is less than $$\alpha$$

Chapter 8: Hypothesis Testing – Foundations and Procedures

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