Hypothesis Testing Quiz Part One

The owner of travel agency would like to determine whether or not the mean age of the agency's customers is over 24. If so, he plans to alter the destination of their special cruises and tours. If he concludes the mean age is over 24 when it is not, he makes a ________ error. If he concludes the mean age is not over 24 when it is, he makes a ________ error.

• Type II; Type II

• Type I; Type I

• Type I; Type II

• Type II; Type I

Suppose we wish to test ( H_0 : μ ≤ 53 ) vs ( H_a : μ > 53 ). What will result if we conclude that the mean is greater than 53 when its true value is really 55?

• We have made a Type I error

• We have made a correct decision

• We have made a Type II error

• None of the above are correct

The value that separates a rejection region from an acceptance region is called a ________.

• parameter

• critical value

• confidence coefficient

• significance level

A hypothesis test is used to prevent a machine from underfilling or overfilling quart bottles of beer. On the basis of sample, the machine is shut down for inspection. A thorough examination reveals there is nothing wrong with the filling machine. From a statistical point of view:

• Both Type I and Type II errors were made.

• A Type I error was made.

• A Type II error was made.

• A correct decision was made.

Given ( H_0: μ = 25 ), ( H_a: μ ≠ 25 ), and P-value = 0.041. Do you reject or fail to reject ( H_0 ) at the 0.01 level of significance?

• fail to reject H_0

• not sufficient information to decide

• reject H_0

A bottling company needs to produce bottles that will hold 12 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 36 bottles. Suppose the p-value of this test turned out to be 0.0455. State the proper conclusion.

• At α = 0.085, fail to reject the null hypothesis.

• At α = 0.035, accept the null hypothesis.

• At α = 0.05, reject the null hypothesis.

• At α = 0.025, reject the null hypothesis.

If a hypothesis test were conducted using α = 0.05, for which of the following p-values would the null hypothesis be rejected?

• 0.100

• 0.041

• 0.055

• 0.060

Test Statistic: t = 2.374, Critical Values: t = +/- 2.011. There is ______ evidence to ______ the claim.

• A) not enough / reject

• B) enough / support

• C) enough / reject

• D) not enough / support

P-value = 0.001, Significance Level = 0.05. There is ___ evidence to ___ the claim that more women than men speed.

• A) enough / support

• B) not enough / support

• C) not enough / reject

• D) enough / reject

mark ALL that apply

• This is a LEFT tail test

• This is a RIGHT tail test

• This has a significance level of 0.05

• This has a critical value of 1.645

• This has a critical value of -1.645