Solution: The following MINITAB output presents the results of a hypothesis test for a

Chapter 6, Problem 12

(choose chapter or problem)

The following MINITAB output presents the results of a hypothesis test for a population proportion p.

Test and CI for One Proportion: X

Test of p = 0.4 vs p < 0.4

95%

Upper

Variable X N Sample p Bound Z-Value P-Value

X 73 240 0.304167 0.353013 −3.03 0.001

a. Is this a one-tailed or two-tailed test?

b. What is the null hypothesis?

c. Can H0 be rejected at the 2% level? How can you tell?

d. Someone asks you whether the null hypothesis \(H_{0}: p \geq 0.45 \text { versus } H_{1}: p<0.45\) 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

\(H_{0}: p \leq 0.25 \text { versus } H_{1}: p>0.25\)

f. Use the output and an appropriate table to compute a 90% confidence interval for p.

Equation Transcription:

     

Text Transcription:

H_{0}: p \geq 0.45 versus H_{1}: p<0.45

H_{0}: p \leq 0.25  versus  H_{1}: p>0.25