Question

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test.

H0​: p=0.6 versus H1​: p>0.6

n=250; x=160​, a=0.01

Is np 0 ( 1−p0) ≥​10?

Yes or NO?

Use technology to find the​ P-value.

​P- value=________

​(Round to three decimal places as​ needed.)

__________the null​ hypothesis, because the​ P-value is __________ than α.

please answer each line.

Answer 1

H₀ : p = 0.6 versus H₁ : p > 0.6

n = 250

x = 160

sample proportion, p' = x/n = 160/250 = 0.64

p₀ = 0.6

q₀ = 1-p₀ = 1-0.6 = 0.4

n p₀ (1-p₀) = 250 0.6 0.4 = 60 >10

Answer : Yes

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The test statistic is,

P- Value = 0.098

Here = 0.01

Accept the null hypothesis, because the P-value is greater than .

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