#1-50

A statistics professor works tirelessly to catch students cheating on his exams. He has particular routes for his teaching assistants to patrol, an elevated chair to ensure an unobstructed view of all students, and even a video recording of the exam in case additional evidence needs to be collected. He estimates that he catches 95% of students who cheat in his class, but 1% of the time he accuses a student of cheating and he is actually incorrect. Consider the null hypothesis, "the student is not cheating." What is the probability of a Type I error?

1%

Consider the following hypotheses that relate to the medical field: Ho: A person is free of disease Ha: a person had disease In this instance, a Type II errror is often referred to as _______.

A false negative

Consider the following hypotheses that relate to the medical field: Ho: A person is free of disease Ha: a person had disease In this instance, a Type I error is often referred to as _________.

A false positive

The alternative hypothesis typically ___.

Contest the status quo for which a corrective action may be required

For a given sample size n, ______.

Decreasing the probability of a Type I error α will increase the probability of a type II error β.

A Type II error occurs when we .

Do not reject the null hypothesis when it is actually false

Many cities around the United States are installing LED streetlights, in part to combat crime by improving visibility after dusk. An urban police department claims that the proportion of crimes committed after dusk will fall below the current level of 0.84 if LED streetlights are installed. Specify the null and alternative hypotheses to test the police department's claim.

Ho: P> 0.84 and Ha:p<0.84

It is generally believed that no more than 0.50 of all babies in a town in Texas are born out of wedlock. A politician claims that the proportion of babies that are born out of wedlock is increasing. Identify the correct null and alternative hypotheses to test the politician's claim.

Ho: p<0.50 and Ha: P.0.50

In general, the null and alternative hypothesis are ____.

Mutually exclusive

When we reject the null hypothesis when it is actually false we have committed .

No error

If the p-value for a hypothesis test is 0.07 and the chosen level of significance is α=0.05, then the correct conclusion is to ________.

Not reject the null hypothesis

A one-tailed hypothesis test of the population mean has .

Only one critical value

When conducting a hypothesis test for a given sample size, if the probability of a Type I error decreases, then the .

Probability of incorrectly accepting the null increases

What is the decision rule when using the p-value approach to hypothesis testing?

Reject H0 if the p-value < α

If the p-value for a hypothesis test is 0.027 and the chosen level of significance is α=0.05, then the correct conclusion is to _____.

Reject the null hypothesis

A Type I error occurs when we

Reject the null hypothesis when it is actually true

Which of the following answers represents the objective of a hypothesis test?

Rejecting the null hypothesis when it is false and Not rejecting the null hypothesis when it is true

When conducting a hypothesis test, which of the following decisions represents an error?

Rejecting the null hypothesis when it is true

Which of the following types of test may be performed

Right Tailed, Left-Tailed, and two tailed tests

A fast-food franchise is considering building a restaurant at a busy intersection. A financial advisor determines that the site is acceptable only if, on average, more than 300 automobiles pass the location per hour. If the advisor tests the hypotheses Ho: U<300 vs Ha:U>300 , μ stands for _______.

The average number of automobiles that pass the intersection per hour.

It is generally believed that no more than 0.50 of all babies in a town in Texas are born out of wedlock. A politician claims that the proportion of babies that are born out of wedlock is increasing. When testing the two hypotheses, H0: p ≤ 0.50 and HA: p > 0.50, p stands for _________.

The current proportion of babies born out of wedlock.

It is generally believed that no more than 0.50 of all babies in a town in Texas are born out of wedlock. A politician claims that the proportion of babies that are born out of wedlock is increasing. In testing the politician's claim, how does one define the population parameter of interest?

The current proportions of babies born out of wedlock.

The null hypothesis in a hypothesis test refers to ____

The default state of nature

A fast-food franchise is considering building a restaurant at a busy intersection. A financial advisor determines that the site is acceptable only if, on average, more than 300 automobiles pass the location per hour. The advisor tests the following hypotheses: Ho: U<300 Ha:U>300 The consequences of committing a Type I error would be that ________.

The franchiser builds on an unacceptable site.

A fast-food franchise is considering building a restaurant at a busy intersection. A financial advisor determines that the site is acceptable only if, on average, more than 300 automobiles pass the location per hour. The advisor tests the following hypotheses: Ho: U<300 Ha:U>300 The consequences of committing a Type II error would be that ________

The franchiser does not build on an acceptable site.

A local courier service advertises that its average delivery time is less than 6 hours for local deliveries. when testing the two hypothesis Ho:U>6 and Ha:U<6, U stands for?

The mean delivering time

The national average for an 8th grade reading comprehension test is 73. A school district claims that its eighth graders outperform the national average. In testing the school districts claim, how does one define the population parameter of interest.

The mean score on the 8th grade reading comprehension test.

If the null hypothesis is rejected at a 1% significance level, then _________.

The null hypothesis is rejected at a 5% significance level.

When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then __________.

The probability of incorrectly rejecting the null increases. The probability of incorrectly failing to reject the null decreases. The probability of Type II error decreases

A hypothesis test regarding the population mean is based on ______.

The sampling distribution of the sample mean.

If the chosen significance level is α=0.05, then ______.

There is a 5% probability of rejecting a true null hypothesis.

A two-tailed hypothesis test of the population mean or population proportion has .

Two critical values, one positive and one negative

A professional sports organization is going to implement a test for steroids. The test gives a positive reaction in 94% of the people who have taken the steroid. However, it erroneously gives a positive reaction in 4% of the people who have not taken the steroid. What is the probability of a Type I and Type II error using the null hypothesis "the individual has not taken steroids."

Type I: 4%, Type II:6%