Hypothesis Testing

Hypothesis Testing

100

In a null hypothesis, the sign of the statement is always________.

=

200

The probability of obtaining a sample statistic as extreme as the one obtained if the null hypothesis is assumed to be true is the ______.

P-Value

300

Rejecting a true null hypothesis is called _________ error.

Type I

400

The probability of mistakenly failing to reject a false null hypothesis is _________ error.

Type II

500

The power of a hypothesis test is the probability that a _________ error is not committed.

Type II

Hypothesis Testing

100

When the P-Value is small enough, we say that________ to reject the null hypothesis.

we have evidence

200

The null hypothesis is detonated with

Ho

300

An alternative hypothesis is detonated as_____

Ha

400

In a hypothesis test, we attempt to show that a null hypothesis is unacceptable by showing it is _______.

Improbable

500

Hypothesis tests are designed to measure the _________ of evidence against the null hypothesis.

Strength

Hypothesis Testing

100

The alternative hypothesis is ___________ if there is interest in deviations from the null hypothesis in only one direction.

One-sided

200

The assumptions that must be checked before performing a hypothesis test are:

1.) np and n(1-p) are at least 10 2.) the sample size is less than 10% of the population.

300

A larger sample size results in a ______ power.

larger

400

What is the probability of mistakenly failing to reject a null hypothesis when a hypothesis test is being conducted at the 5% significance level (a=0.05)?

There is insufficient information to answer this question

500

You plan to preform a hypothesis test with the level of significance at .05. What is the effect on the probability of committing a type one error if the sample size is increased?

The probability is unchanged

Hypothesis Testing

100

________ gives the probability of avoiding a type II error

power

200

Always give ________ in your conclusion

Context

300

Suppose Ho: p=0.4 and the power of the test for the alternative hypothesis p=.35 is .75. Which of the following is a valid conclusion. A.) The Probability of committing a type I error is .005 B.) The probability of committing a type II error is .65 C.) If the alternative p=.35 is true, the probability of failing to reject Ho is .25

C

400

Choosing a smaller level of significance, that is a smaller a-risk, results in a ______ risk of type II error

A higher risk of type II error

500

A school superintendent must make a decision whether or not to cancel school because of a threatening snow storm. What would the results be of Type I and Type II errors for the null hypothesis: The weather remains dry

Type I: Weather remains dry, school is needlessly canceled Type II: School isn't canceled and the storm hits

Hypothesis Testing

100

Hypotheses are always about the _________, never about the sample.

population

200

We never _______ a null hypothesis; we either do or do not have evidence to reject it.

Accept

300

The greater the difference between the null hypothesis claim and the true value of the population parameter.

The smaller risk for type II error and the greater the power.

500

Suppose you do five independence tests of the form Ho: u=38 versus Ha: u > 38, each at the a = 0.01 significance level. What is the probability of committing a Type I error and incorrectly rejecting a true null hypothesis with at least one of the five tests.

0.049