Solution Found!
Answer: The following MINITAB output presents the results
Chapter 6, Problem 12E(choose chapter or problem)
The following MINITAB output presents the results of a hypothesis test for a population proportion p.
a. Is this a one-tailed or two-tailed test?
b. What is the null hypothesis?
c. Can \(H_{0}\) be rejected at the 2% level? How can you tell?
d. Someone asks you whether the null hypothesis \(H_{0}: p \geq 0.45\) versus \(H_{1}: p<0.45\) can be rejected at the 2%
level. Can you answer without doing any calculations? How?
e. Use the output and an appropriate table to compute the P-value for the test of \(H_{0}: p \leq 0.25\) versus \(H_{1}: p>0.25\).
f. Use the output and an appropriate table to compute a 90% confidence interval for p.
Equation Transcription:
Text Transcription:
H_0
H_0:p{>=}0.45
H_1:p<0.45
H_0:p{</=}0.25
H_1:p>0.25
Questions & Answers
QUESTION:
The following MINITAB output presents the results of a hypothesis test for a population proportion p.
a. Is this a one-tailed or two-tailed test?
b. What is the null hypothesis?
c. Can \(H_{0}\) be rejected at the 2% level? How can you tell?
d. Someone asks you whether the null hypothesis \(H_{0}: p \geq 0.45\) versus \(H_{1}: p<0.45\) can be rejected at the 2%
level. Can you answer without doing any calculations? How?
e. Use the output and an appropriate table to compute the P-value for the test of \(H_{0}: p \leq 0.25\) versus \(H_{1}: p>0.25\).
f. Use the output and an appropriate table to compute a 90% confidence interval for p.
Equation Transcription:
Text Transcription:
H_0
H_0:p{>=}0.45
H_1:p<0.45
H_0:p{</=}0.25
H_1:p>0.25
ANSWER:
Step 1 of 6
(a) The MINITAB output states "Test of vs <\ " which indicates that the hypotheses are:
If the alternative hypothesis contains the symbol or , then the test is one-tailed.
If the alternative hypothesis contains the symbol , then the test is two-tailed.
The test is one-tailed.