Solution Found!
State whether each of the following situations is a
Chapter 9, Problem 1E(choose chapter or problem)
State whether each of the following situations is a correctly stated hypothesis testing problem and why.
(a) \(H_0:\ \mu=25,\ H_1:\ \mu\ne25\) (b) \(H_0:\ \sigma>10,\ H_1:\ \sigma=10\)
(c) \(H_{0}: \bar{x}=50, H_{1}: \bar{x} \neq 50\) (d) \(H_0:\ p=0.1,\ H_1:\ p=0.5\)
(e) \(H_0:\ s=30,\ H_1:\ s>30\)
Equation Transcription:
Text Transcription:
H_0:mu=25, H_1:mu not=25
H_0:>10, H_1:sigma=10
H_0:x bar=50, H_1:x bar not=50
H_0:p=0.1, H_1:p=0.5
H_0:s=30, H_1:s>30
Questions & Answers
QUESTION:
State whether each of the following situations is a correctly stated hypothesis testing problem and why.
(a) \(H_0:\ \mu=25,\ H_1:\ \mu\ne25\) (b) \(H_0:\ \sigma>10,\ H_1:\ \sigma=10\)
(c) \(H_{0}: \bar{x}=50, H_{1}: \bar{x} \neq 50\) (d) \(H_0:\ p=0.1,\ H_1:\ p=0.5\)
(e) \(H_0:\ s=30,\ H_1:\ s>30\)
Equation Transcription:
Text Transcription:
H_0:mu=25, H_1:mu not=25
H_0:>10, H_1:sigma=10
H_0:x bar=50, H_1:x bar not=50
H_0:p=0.1, H_1:p=0.5
H_0:s=30, H_1:s>30
ANSWER:
Step 1 of 7
A statistical hypothesis is a statement about the parameters of one or more populations. There will be two statements, a null hypothesis and an alternative hypothesis 
Testing of hypothesis procedures depends upon using the information in a random sample from the population of interest. We will either reject or do not reject the null hypothesis based upon whether this information is consistent or inconsistent with the null hypothesis.