Answer: The following MINITAB output presents the results

Chapter 6, Problem 12E

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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

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.

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