Math 10 - Homework 6
–
Answers to homework
1.
What are the two types of hypotheses used in a hypothesis test? How are they related?

2. Describe the two types of error possible in a hypothesis test decision.

True or False?
In Exercises 3-8, determine whether the statement is true of false.
If it is false, rewrite it as a true statement.

4. A statistical hypothesis is a statement about a sample.
False, it is a statement about a population
parameter.

5. If you decide to reject the null hypothesis, you can support the alternative hypothesis.
True

6. The level of significance is the maximum probability you allow for rejecting a null hypothesis when

7. A large P-value in a test will favor a rejection of the null hypothesis.
False, a small p-value supports
rejecting the null hypothesis.

8. If you want to support a claim, write it as your null hypothesis.
False, to support a claim write it as
the alternative hypothesis.

In Exercises 9-14, use the given statement to represent a
claim. Write its complement and state which is Ho and which is
Ha.
9.
Ha: p >.65
Ho: p
ζ
65
10. Ho:
ζ
128
Ha:
>128
11. Ha:
2
≠
5
Ho:
2
= 5
12. Ho:
=1.2
Ha:
≠
1.2
13. Ho: p
η
0.45
Ha: p < 0.45
14. Ha:
< 0.21
Ho:
η
0.21

##### We have textbook solutions for you!

**The document you are viewing contains questions related to this textbook.**

**The document you are viewing contains questions related to this textbook.**

Expert Verified

Think
about the context of the claim.
Determine
whether you want to support or reject the claim.
a.
State the null and alternative hypotheses in words.
b.
Write the null and alternative hypotheses in appropriate symbols
c.
Describe in words Type I error (the consequence of rejecting a true null hypothesis.)
d.
Describe in words Type II error (the consequence of failing to reject a false null hypothesis.)
15.
You represent a chemical company that is being sued for paint damage to automobiles. You want
to support the claim that the mean repair cost per automobile is about $650. How would you
write the null and alternative hypotheses?

16.
You are on a research team that is investigating the mean temperature of adult humans. The
commonly accepted claim is that the mean temperature is about 98.6°F. You want to show that
this claim is false. How would you write the null and alternative hypotheses?=