Q: A two-tailed hypothesis test is appropriate when:

The alternative hypothesis uses $$\neq.$$

Question 1

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

Accepted Answer

It states that the population parameter is equal to a specific value.

Question 2

A researcher claims that the mean weight of plastic discarded by households in one week is less than 1 kg. Which is the correct way to express the null and alternative hypotheses?

Accepted Answer

$$H_0$$: \mu = 1$$ kg, H_1$: \mu \u003c 1 kg$$

Question 3

Which formula is used to calculate the test statistic for a population proportion?

Accepted Answer

$$z = \frac{\hat{p} - p}{\sqrt{pq/n}}$$

Question 4

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

Accepted Answer

The probability of rejecting a true null hypothesis.

Question 5

A two-tailed hypothesis test is appropriate when:

Accepted Answer

The alternative hypothesis uses $$
eq.$$

Question 6

Which of the following is NOT a step in the four parts of a hypothesis test?

Accepted Answer

Prove the null hypothesis is true.

Question 7

A sample of 100 college students is surveyed, and 60% report having credit cards. If the national proportion is 50%, which test statistic formula should be used?

Accepted Answer

$$z = \frac{\hat{p} - p}{\sqrt{pq/n}}$$

Question 8

If the calculated test statistic falls within the critical region, what is the correct conclusion?

Accepted Answer

Reject $$H_0$$

Question 9

Which of the following statements about the p-value is correct?

Accepted Answer

The p-value is the probability of obtaining a test statistic as extreme as the one observed, assuming $$H_0 is $$true.

Question 10

A researcher wants to test if the standard deviation of playing times for songs is different from 60 seconds. Which test statistic should be used?

Accepted Answer

$$\$$chi^2$$ = \frac{(n-1)s^2$}{\$$sigma^2$$}$$

Question 11

In a left-tailed test, the critical region is located:

Accepted Answer

In the left tail of the distribution.

Question 12

Which of the following is a correct symbolic representation for an alternative hypothesis when testing if the mean is greater than 72?

Accepted Answer

$$H_1$$: \mu \u003e 72$$

Question 13

A city claims that the proportion of robberies is less than 25%. Which is the correct null hypothesis?

Accepted Answer

$$H_0$$: p = 0.25$$

Question 14

Which of the following factors does NOT affect the location of the critical region in hypothesis testing?

Accepted Answer

The sample mean value

Question 15

A sample of 25 students has a mean test score of 80 and a standard deviation of 10. The population mean is 75. What is the value of the test statistic for the mean?

Accepted Answer

$$z = \frac{80 - 75}{10 / \sqrt{25}} = 2.5$$

Question 16

If a p-value is calculated to be 0.03 and the significance level is $$\alpha = 0.05$$, what is the correct decision?

Accepted Answer

Reject $$H_0$$

Question 17

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

Accepted Answer

It is the value that separates the acceptance region from the rejection region.

Question 18

A right-tailed test is used when:

Accepted Answer

The alternative hypothesis uses $$\u003e.$$

Question 19

In a hypothesis test for the mean, which formula is used for the test statistic when the population standard deviation is known?

Accepted Answer

$$z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}}$$

Chapter 8: Hypothesis Testing – Structured Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard