HW 05
1.
A statement of what must be true if the null hypothesis is false is called a(n) ________ hypothesis.
a.
Alternative
2.
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct
symbol
for the indicated parameter.
The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
a.
H
0
:
μ
=
48
°
b.
H
1
:
μ
=
48
°
3.
The symbol for the power of a statistical test is
a.
1
−
β
4.
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.
A medical researcher claims that 12% of children suffer from a certain disorder. Identify the type I error for the test.
a.
Reject the claim that the percentage of children who suffer from the disorder is equal to 12% when that percentage is actually 12%.
5.
The National Association of Realtors reported that 26% of home buyers in the state of Florida are foreigners. When testing the validity of this report, a Type I error would occur if it was concluded
that the proportion of foreign buyers was ______________________________.
a.
Not equal to 26% when, in reality, the proportion was equal to 26%.
6.
When we reject the null hypothesis when it is actually false, we have committed ________.
a.
No error
7.
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.
A consumer advocacy group claims that the mean mileage for the Carter Motor Company's new sedan is less than 21 miles per gallon. Identify the type I error for the test.
a.
Reject the claim that the mean is equal to 21 miles per gallon when it is actually 21 miles per gallon.
8.
The alternative hypothesis typically ________.
a.
Contests the status quo, for which a corrective action may be required
9.
Travelocity would like to test if the average roundtrip airfare between New York and London is less than $1,400. A Type II error would occur if Travelocity concludes that the average airfare is _______________________________________________.
a.
$1,400 or more when, in reality, the average airfare is less than $1,400
10.
A Type I error occurs in hypothesis testing when we _____________________________.
a.
reject the null hypothesis and the null hypothesis is true
