Question 1

A hospital administrator wants to test whether the average wait time in the emergency room is less than 30 minutes. Which of the following best describes the null and alternative hypotheses for this scenario?

Accepted Answer

$$H_0$$: \mu = 30$$, H_1$: \mu \u003c 30$$

Question 2

Which significance level should be chosen if the consequences of rejecting a true null hypothesis are severe, such as in a medical drug approval process?

Accepted Answer

$$\alpha = 0.01$$

Question 3

In a hypothesis test, what is the critical region for a right-tailed test?

Accepted Answer

The area to the right of the test statistic

Question 4

A researcher conducts a two-tailed hypothesis test with $$\alpha = 0.05. $$What is the confidence level for the corresponding confidence interval?

Accepted Answer

95%

Question 5

If the test statistic falls within the critical region, what should be the decision regarding the null hypothesis?

Accepted Answer

Reject $$H_0$$

Question 6

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

Accepted Answer

Rejecting a true null hypothesis

Question 7

A sample proportion is $$\hat{p} = 0.52$$ and the critical value is $$z = 1.645$$ for a right-tailed test with $$\alpha = 0.05. If $$the calculated $$z-$$score is $$z = 1.25$$, what is the correct decision?

Accepted Answer

Fail to reject $$H_0$$ because $$z \u003c 1.645$$

Question 8

In a left-tailed test, how is the $$p-$$value calculated?

Accepted Answer

Area to the left of the test statistic

Question 9

Which test statistic would be most appropriate for testing the mean of a population when the population standard deviation is unknown and the sample size is small?

Accepted Answer

$$t-$$statistic

Question 10

A formal hypothesis test is conducted to test the claim that the mean wait time at Space Mountain is equal to 40 minutes. What is the correct notation for the null hypothesis?

Accepted Answer

$$H_0$$: \mu = 40$$

Question 11

Which of the following statements best describes the critical region in a two-tailed test?

Accepted Answer

The area in both extreme tails of the distribution

Question 12

If a test statistic is not in the critical region, what is the correct decision according to the critical value method?

Accepted Answer

Fail to reject $$H_0$$

Question 13

A pharmaceutical company tests a new drug and finds a $$p-$$value of $$0.03$$ with a significance level of $$0.05. $$What should the company conclude?

Accepted Answer

Reject $$H_0$$ because $$p-$$value $$\u003c \alpha$$

Question 14

Which of the following is a correct restatement of a hypothesis test decision in nontechnical terms?

Accepted Answer

There is enough evidence to support the claim.

Question 15

In a hypothesis test, what does the significance level $$\alpha$$ represent?

Accepted Answer

The probability of rejecting a true null hypothesis

Question 16

A two-tailed test is conducted with a test statistic in the extreme right tail. How is the $$p-$$value calculated?

Accepted Answer

Twice the area in the tail beyond the test statistic

Question 17

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

Accepted Answer

Calculate the population mean

Question 18

A confidence interval for a population mean is calculated as $$(35, 45)$$ minutes. If a claim states that the mean is 50 minutes, what should be concluded?

Accepted Answer

Reject the claim because 50 is not within the interval

Question 19

Which of the following best describes the alternative hypothesis in a left-tailed test?

Accepted Answer

$$H_1$$: \mu \u003c \$$mu_0$$

Mini-Textbook Study Notes: Hypothesis Testing in Statistics

Guida di studio - Domande di pratica

Study guide - Flashcard