Q: A TV network claims that 24% of viewers watch their show. What is the correct null and alternative hypothesis for testing this claim?

$$H_0$$: p = 0.24$$; H_1$: p \neq 0.24$$

Question 1

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

Accepted Answer

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

Question 2

A pharmaceutical company claims that their drug reduces blood pressure by at least 10 mmHg. Which is the correct null hypothesis ($$H_0) $$and alternative hypothesis ($$H_1$$)?

Accepted Answer

$$H_0$$: \mu = 10$$; H_1$: \mu \u003c 10$$

Question 3

Which of the following statements about the alternative hypothesis ($$H_1) is $$correct?

Accepted Answer

It is the statement that the parameter has a value that differs from the null hypothesis.

Question 4

A researcher claims that the mean IQ of actors is more than 15 points above the average. What is the correct symbolic form for the null and alternative hypotheses?

Accepted Answer

$$H_0$$: \sigma = 15$$; H_1$: \sigma \u003e 15$$

Question 5

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

Accepted Answer

Rejecting the null hypothesis when it is actually true.

Question 6

In the context of a criminal trial, which scenario represents a Type II error?

Accepted Answer

A guilty person goes free.

Question 7

A TV network claims that 24% of viewers watch their show. What is the correct null and alternative hypothesis for testing this claim?

Accepted Answer

$$H_0$$: p = 0.24$$; H_1$: p 
eq 0.24$$

Question 8

Which symbol is used to represent the probability of a Type I error?

Accepted Answer

$$\alpha$$

Question 9

A car manufacturer claims that their vehicles average at least 30 miles per gallon. Which is the correct null and alternative hypothesis?

Accepted Answer

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

Question 10

Which of the following best describes the P-value in hypothesis testing?

Accepted Answer

The probability of getting a value of the sample test statistic at least as extreme as the one found, assuming the null hypothesis is true.

Question 11

If the P-value is less than or equal to the significance level $$\alpha$$, what is the correct conclusion?

Accepted Answer

Reject the null hypothesis.

Question 12

A study tests whether more than half of drivers in a city fail to use turn signals consistently. What is the correct null and alternative hypothesis?

Accepted Answer

$$H_0$$: p = 0.5$$; H_1$: p \u003e 0.5$$

Question 13

Which of the following is NOT a correct way to state the conclusion of a hypothesis test?

Accepted Answer

There is enough evidence to accept the null hypothesis.

Question 14

A medical researcher tests whether the mean body temperature of healthy adults is less than 98.6°F. Which is the correct null and alternative hypothesis?

Accepted Answer

$$H_0$$: \mu = 98.6$$; H_1$: \mu \u003c 98.6$$

Question 15

Which step comes immediately after calculating the test statistic in the P-value approach to hypothesis testing?

Accepted Answer

Compute the P-value.

Question 16

An insurance company advertises that it takes no more than 3 days on average to process a claim. What is the correct null and alternative hypothesis?

Accepted Answer

$$H_0$$: \mu = 3$$; H_1$: \mu \u003e 3$$

Question 17

Which of the following is a correct interpretation of 'fail to reject the null hypothesis'?

Accepted Answer

There is not enough evidence to reject the null hypothesis.

Question 18

Which symbol is used to represent the probability of a Type II error?

Accepted Answer

$$\beta$$

Question 19

A statistics professor claims that the mean IQ of statistics students is at least 110. What is the correct null and alternative hypothesis?

Accepted Answer

$$H_0$$: \mu = 110$$; H_1$: \mu \u003c 110$$

Question 20

Which of the following is a multi-step process for hypothesis testing using the P-value approach?

Accepted Answer

State $$H_0$$ and $$H_1$$, calculate the test statistic, compute the P-value, and state the conclusion.

Hypothesis Testing: Concepts, Errors, and P-Value Approach

Study Guide - Practice Questions

Study Guide - Flashcards